﻿229:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
Ejemplos:@0.096359:0.125929:0.160353:0.125929:0.160353:0.110816:0.096359:0.110816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.096359:0.149967:0.111875:0.149967:0.111875:0.132831:0.096359:0.132831:0.000000:0.000000
  Para sembrar arroz, Eugenio tiene una parcela triangular cuyos lados miden :@0.111875:0.149967:0.698482:0.149967:0.698482:0.134297:0.111875:0.134297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.694409:0.149967:0.698445:0.149967:0.698445:0.134297:0.694409:0.134297:0.000000
90   y 120   y entre ellos forman un ángulo de 70°. ¿Cuál es el área del terreno :@0.124848:0.166563:0.698535:0.166563:0.698535:0.150894:0.124848:0.150894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.146224:0.166563:0.160856:0.166563:0.160856:0.150202:0.146224:0.150202:0.000000
m:@0.206114:0.166563:0.220745:0.166563:0.220745:0.150202:0.206114:0.150202:0.000000
que se puede sembrar?:@0.124848:0.183160:0.296667:0.183160:0.296667:0.167490:0.124848:0.167490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.126513:0.201498:0.187174:0.201498:0.187174:0.186385:0.126513:0.186385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificar:@0.124848:0.225536:0.206057:0.225536:0.206057:0.208635:0.124848:0.208635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las incógnitas del problema.:@0.206057:0.225536:0.415393:0.225536:0.415393:0.209866:0.206057:0.209866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.249255:0.100395:0.249255:0.100395:0.233585:0.096359:0.233585:0.000000
Para encontrar el área de un triángulo, necesitamos conocer su base y su altu-:@0.124848:0.249255:0.694502:0.249255:0.694502:0.233585:0.124848:0.233585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ra. En este caso no tenemos el valor de la altura, pero por definición sabemos :@0.124848:0.265851:0.698370:0.265851:0.698370:0.250182:0.124848:0.250182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que la altura es perpendicular a la base y forma un triángulo rectángulo :@0.124848:0.282448:0.663580:0.282448:0.663580:0.266778:0.124848:0.266778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
HBC:@0.664557:0.282448:0.694428:0.282448:0.694428:0.266086:0.664557:0.266086:0.000000:0.000000:0.000000
 :@0.694428:0.282448:0.698464:0.282448:0.698464:0.266778:0.694428:0.266778:0.000000
como se muestra en la figura.:@0.124848:0.299044:0.340765:0.299044:0.340765:0.283374:0.124848:0.283374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.124848:0.346496:0.188127:0.346496:0.188127:0.329595:0.124848:0.329595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: aplicamos la razón trigonométrica sen (70°) para encontrar el valor :@0.188127:0.346496:0.698452:0.346496:0.698452:0.330826:0.188127:0.330826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  .:@0.124848:0.363092:0.160561:0.363092:0.160561:0.347422:0.124848:0.347422:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.147846:0.363092:0.157354:0.363092:0.157354:0.346731:0.147846:0.346731:0.000000
 :@0.096359:0.409451:0.100395:0.409451:0.100395:0.393782:0.096359:0.393782:0.000000
.:@0.154220:0.395620:0.157426:0.395620:0.157426:0.379950:0.154220:0.379950:0.000000
70:@0.165056:0.395620:0.182838:0.395620:0.182838:0.379950:0.165056:0.379950:0.000000:0.000000
90:@0.214006:0.406582:0.231789:0.406582:0.231789:0.390912:0.214006:0.390912:0.000000:0.000000
;:@0.235208:0.395620:0.238414:0.395620:0.238414:0.379950:0.235208:0.379950:0.000000
.:@0.239612:0.395620:0.242818:0.395620:0.242818:0.379950:0.239612:0.379950:0.000000
.:@0.242653:0.395620:0.245859:0.395620:0.245859:0.379950:0.242653:0.379950:0.000000
90:@0.273390:0.395620:0.291173:0.395620:0.291173:0.379950:0.273390:0.379950:0.000000:0.000000
70 ;:@0.333704:0.395620:0.369951:0.395620:0.369951:0.379950:0.333704:0.379950:0.000000:0.000000:0.000000:0.000000
.:@0.371149:0.395620:0.374355:0.395620:0.374355:0.379950:0.371149:0.379950:0.000000
.:@0.374189:0.395620:0.377395:0.395620:0.377395:0.379950:0.374189:0.379950:0.000000
84,57:@0.404926:0.395620:0.446223:0.395620:0.446223:0.379950:0.404926:0.379950:0.000000:0.000000:0.000000:0.000000:0.000000
Sen:@0.126822:0.395620:0.152031:0.395620:0.156827:0.379259:0.131618:0.379259:0.000000:0.000000:0.000000
h:@0.216383:0.387059:0.225892:0.387059:0.230688:0.370698:0.221179:0.370698:0.000000
h:@0.245016:0.395620:0.254525:0.395620:0.259321:0.379259:0.249812:0.379259:0.000000
Sen:@0.298420:0.395620:0.323629:0.395620:0.328425:0.379259:0.303216:0.379259:0.000000:0.000000:0.000000
h:@0.376538:0.395620:0.386046:0.395620:0.390842:0.379259:0.381334:0.379259:0.000000
m:@0.445328:0.395620:0.459960:0.395620:0.464756:0.379259:0.450124:0.379259:0.000000
(:@0.159036:0.398753:0.165173:0.398753:0.165173:0.378820:0.159036:0.378820:0.000000
):@0.190234:0.398753:0.196371:0.398753:0.196371:0.378820:0.190234:0.378820:0.000000
(:@0.327668:0.398753:0.333804:0.398753:0.333804:0.378820:0.327668:0.378820:0.000000
):@0.358866:0.398753:0.365002:0.398753:0.365002:0.378820:0.358866:0.378820:0.000000
°=:@0.182647:0.396298:0.209570:0.396298:0.209570:0.380725:0.182647:0.380725:0.000000:0.000000
=:@0.260283:0.396298:0.270400:0.396298:0.270400:0.380725:0.260283:0.380725:0.000000
⋅:@0.292900:0.396298:0.297507:0.396298:0.297507:0.380725:0.292900:0.380725:0.000000
°:@0.351260:0.396298:0.358631:0.396298:0.358631:0.380725:0.351260:0.380725:0.000000
=:@0.391782:0.396298:0.401899:0.396298:0.401899:0.380725:0.391782:0.380725:0.000000
 :@0.466599:0.409450:0.470634:0.409450:0.470634:0.393780:0.466599:0.393780:0.000000
 :@0.096351:0.433169:0.100386:0.433169:0.100386:0.417499:0.096351:0.417499:0.000000
La altura del triángulo es 84,57  .:@0.124840:0.433169:0.369798:0.433169:0.369798:0.417499:0.124840:0.417499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.351960:0.433169:0.366592:0.433169:0.366592:0.416808:0.351960:0.416808:0.000000
Segundo:@0.124840:0.480621:0.196707:0.480621:0.196707:0.463720:0.124840:0.463720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: hallamos el área de la parcela.:@0.196707:0.480621:0.421705:0.480621:0.421705:0.464951:0.196707:0.464951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096351:0.526980:0.100386:0.526980:0.100386:0.511310:0.096351:0.511310:0.000000
=:@0.141971:0.513827:0.152087:0.513827:0.152087:0.498255:0.141971:0.498255:0.000000
×:@0.169133:0.504824:0.179250:0.504824:0.179250:0.489251:0.169133:0.489251:0.000000
=:@0.222278:0.513827:0.232395:0.513827:0.232395:0.498255:0.222278:0.498255:0.000000
×:@0.272217:0.504824:0.282334:0.504824:0.282334:0.489251:0.272217:0.489251:0.000000
=:@0.331315:0.513827:0.341431:0.513827:0.341431:0.498255:0.331315:0.498255:0.000000
A:@0.128924:0.513150:0.138820:0.513150:0.138820:0.496789:0.128924:0.496789:0.000000
bh:@0.157247:0.504146:0.191670:0.504146:0.191670:0.487785:0.157247:0.487785:0.000000:0.000000
A:@0.203943:0.513150:0.213838:0.513150:0.213838:0.496789:0.203943:0.496789:0.000000
2:@0.169873:0.523680:0.178866:0.523680:0.178866:0.508010:0.169873:0.508010:0.000000
;:@0.194583:0.513150:0.197790:0.513150:0.197790:0.497480:0.194583:0.497480:0.000000
120 84,57:@0.243122:0.504146:0.326193:0.504146:0.326193:0.488477:0.243122:0.488477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.280910:0.523680:0.289903:0.523680:0.289903:0.508010:0.280910:0.508010:0.000000
5 074,2:@0.345145:0.513150:0.400515:0.513150:0.400515:0.497480:0.345145:0.497480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.550704:0.100395:0.550704:0.100395:0.535034:0.096359:0.535034:0.000000
El área del terreno es 5 074,2  2.:@0.124848:0.550704:0.360388:0.550704:0.360388:0.535034:0.124848:0.535034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.337280:0.550704:0.351912:0.550704:0.351912:0.534343:0.337280:0.534343:0.000000
b):@0.096359:0.598156:0.113018:0.598156:0.113018:0.581020:0.096359:0.581020:0.000000:0.000000
  Tres barcos se encuentran en una posi-:@0.113018:0.598156:0.426379:0.598156:0.426379:0.582486:0.113018:0.582486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción tal que entre ellos forman un trián-:@0.124848:0.614752:0.426359:0.614752:0.426359:0.599083:0.124848:0.599083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gulo rectángulo, como se muestra en :@0.124848:0.631349:0.430415:0.631349:0.430415:0.615679:0.124848:0.615679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la figura. El barco   se encuentra a 8 :@0.124848:0.647945:0.402698:0.647945:0.402698:0.632275:0.124848:0.632275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.258815:0.647945:0.268711:0.647945:0.268711:0.631584:0.258815:0.631584:0.000000
km:@0.404080:0.647945:0.426433:0.647945:0.426433:0.631584:0.404080:0.631584:0.000000:0.000000
 :@0.426379:0.647945:0.430415:0.647945:0.430415:0.632275:0.426379:0.632275:0.000000
de una boya marina, y el barco   a dicha :@0.124848:0.664541:0.430378:0.664541:0.430378:0.648872:0.124848:0.648872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.358289:0.664541:0.368203:0.664541:0.368203:0.648180:0.358289:0.648180:0.000000
boya tiene una distancia de 12 :@0.124848:0.681138:0.355120:0.681138:0.355120:0.665468:0.124848:0.665468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
km:@0.355581:0.681138:0.377933:0.681138:0.377933:0.664777:0.355581:0.664777:0.000000:0.000000
. El án-:@0.377952:0.681138:0.426379:0.681138:0.426379:0.665468:0.377952:0.665468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gulo entre estas dos distancias es 120°. :@0.124848:0.697734:0.430397:0.697734:0.430397:0.682064:0.124848:0.682064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la distancia del barco   al barco  ?:@0.124848:0.714331:0.426379:0.714331:0.426379:0.698661:0.124848:0.698661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.337945:0.714331:0.346791:0.714331:0.346791:0.697969:0.337945:0.697969:0.000000
C:@0.409647:0.714331:0.419561:0.714331:0.419561:0.697969:0.409647:0.697969:0.000000
Solución :@0.126513:0.732664:0.190725:0.732664:0.190725:0.717552:0.126513:0.717552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.124848:0.756703:0.188127:0.756703:0.188127:0.739802:0.124848:0.739802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: tenemos dos triángulos rectángulos, pero trabajaremos con el trián-:@0.188127:0.756703:0.694470:0.756703:0.694470:0.741033:0.188127:0.741033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gulo :@0.124848:0.773299:0.162404:0.773299:0.162404:0.757629:0.124848:0.757629:0.000000:0.000000:0.000000:0.000000:0.000000
BCD:@0.163823:0.773299:0.194118:0.773299:0.194118:0.756938:0.163823:0.756938:0.000000:0.000000:0.000000
. Para hallar la distancia entre las embarcaciones debemos conocer :@0.194118:0.773299:0.698480:0.773299:0.698480:0.757629:0.194118:0.757629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un ángulo agudo. Entonces tenemos que: :@0.124848:0.789896:0.436142:0.789896:0.436142:0.774226:0.124848:0.774226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.813615:0.100395:0.813615:0.100395:0.797945:0.096359:0.797945:0.000000
:@0.175737:0.814776:0.189889:0.814776:0.189889:0.798028:0.175737:0.798028:0.000000
°+:@0.152702:0.814583:0.172604:0.814583:0.172604:0.799010:0.152702:0.799010:0.000000:0.000000
=:@0.204889:0.814583:0.215006:0.814583:0.215006:0.799010:0.204889:0.799010:0.000000
°:@0.243532:0.814583:0.250903:0.814583:0.250903:0.799010:0.243532:0.799010:0.000000
D:@0.189558:0.813905:0.201093:0.813905:0.201093:0.797544:0.189558:0.797544:0.000000
120:@0.126314:0.813905:0.152887:0.813905:0.152887:0.798235:0.126314:0.798235:0.000000:0.000000:0.000000
180 . Por ser ángulos suplementarios, :@0.217144:0.813905:0.495183:0.813621:0.495183:0.797951:0.217144:0.798235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.498165:0.814487:0.512318:0.814487:0.512318:0.797739:0.498165:0.797739:0.000000
=:@0.527318:0.814294:0.537434:0.814294:0.537434:0.798721:0.527318:0.798721:0.000000
°:@0.558682:0.814294:0.566053:0.814294:0.566053:0.798721:0.558682:0.798721:0.000000
D:@0.511986:0.813616:0.523522:0.813616:0.523522:0.797255:0.511986:0.797255:0.000000
60 .:@0.541102:0.813616:0.569214:0.813621:0.569214:0.797951:0.541102:0.797946:0.000000:0.000000:0.000000:0.000000
Segundo:@0.124850:0.837340:0.196718:0.837340:0.196718:0.820439:0.124850:0.820439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: encontremos el valor de  , aplicando la razón trigonométrica :@0.196718:0.837340:0.698482:0.837340:0.698482:0.821670:0.196718:0.821670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.410790:0.837520:0.419377:0.837520:0.419377:0.821767:0.410790:0.821767:0.000000
 :@0.694430:0.837340:0.698465:0.837340:0.698465:0.821670:0.694430:0.821670:0.000000
Sen:@0.124868:0.853936:0.150464:0.853936:0.150464:0.837575:0.124868:0.837575:0.000000:0.000000:0.000000
 (60°).:@0.150464:0.853936:0.190876:0.853936:0.190876:0.838266:0.150464:0.838266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096378:0.900295:0.100414:0.900295:0.100414:0.884626:0.096378:0.884626:0.000000
(:@0.156053:0.889598:0.162189:0.889598:0.162189:0.869665:0.156053:0.869665:0.000000
):@0.188043:0.889598:0.194180:0.889598:0.194180:0.869665:0.188043:0.869665:0.000000
(:@0.322381:0.889598:0.328517:0.889598:0.328517:0.869665:0.322381:0.869665:0.000000
):@0.354371:0.889598:0.360507:0.889598:0.360507:0.869665:0.354371:0.869665:0.000000
°=:@0.180449:0.887144:0.207372:0.887144:0.207372:0.871571:0.180449:0.871571:0.000000:0.000000
=:@0.256519:0.887144:0.266635:0.887144:0.266635:0.871571:0.256519:0.871571:0.000000
⋅:@0.287624:0.887144:0.292231:0.887144:0.292231:0.871571:0.287624:0.871571:0.000000
°:@0.346777:0.887144:0.354148:0.887144:0.354148:0.871571:0.346777:0.871571:0.000000
=:@0.387300:0.887144:0.397416:0.887144:0.397416:0.871571:0.387300:0.871571:0.000000
Sen:@0.126822:0.886466:0.152031:0.886466:0.156827:0.870105:0.131618:0.870105:0.000000:0.000000:0.000000
a:@0.213085:0.877905:0.222354:0.877905:0.227150:0.861544:0.217881:0.861544:0.000000
a:@0.240889:0.886466:0.250158:0.886466:0.254954:0.870105:0.245685:0.870105:0.000000
Sen:@0.293131:0.886466:0.318358:0.886466:0.323154:0.870105:0.297927:0.870105:0.000000:0.000000:0.000000
h:@0.372035:0.886466:0.381543:0.886466:0.386339:0.870105:0.376831:0.870105:0.000000
km:@0.440715:0.886466:0.462625:0.886466:0.467421:0.870105:0.445511:0.870105:0.000000:0.000000
60:@0.162859:0.886466:0.180642:0.886466:0.180642:0.870797:0.162859:0.870797:0.000000:0.000000
12:@0.210656:0.897429:0.228438:0.897429:0.228438:0.881759:0.210656:0.881759:0.000000:0.000000
;:@0.231490:0.886466:0.234697:0.886466:0.234697:0.870797:0.231490:0.870797:0.000000
.:@0.235895:0.886466:0.239101:0.886466:0.239101:0.870797:0.235895:0.870797:0.000000
.:@0.238935:0.886466:0.242142:0.886466:0.242142:0.870797:0.238935:0.870797:0.000000
12:@0.268456:0.886466:0.286239:0.886466:0.286239:0.870797:0.268456:0.870797:0.000000:0.000000
60 ;:@0.329175:0.886466:0.365423:0.886466:0.365423:0.870797:0.329175:0.870797:0.000000:0.000000:0.000000:0.000000
.:@0.366620:0.886466:0.369827:0.886466:0.369827:0.870797:0.366620:0.870797:0.000000
.:@0.369661:0.886466:0.372867:0.886466:0.372867:0.870797:0.369661:0.870797:0.000000
10,39:@0.399237:0.886466:0.440165:0.886466:0.440165:0.870797:0.399237:0.870797:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096379:0.924016:0.100415:0.924016:0.100415:0.908346:0.096379:0.908346:0.000000
La distancia entre los barcos es 10,39 :@0.124868:0.924016:0.397780:0.924016:0.397780:0.908346:0.124868:0.908346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
km:@0.397780:0.924016:0.420132:0.924016:0.420132:0.907655:0.397780:0.907655:0.000000:0.000000
.:@0.420134:0.924016:0.423341:0.924016:0.423341:0.908346:0.420134:0.908346:0.000000
Terreno en forma triangular.:@0.723188:0.231542:0.889486:0.231542:0.889486:0.218721:0.723188:0.218721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
70º:@0.877421:0.187590:0.887114:0.187590:0.887114:0.181632:0.877421:0.181632:0.000000:0.000000:0.000000
90 :@0.861726:0.163092:0.876208:0.163092:0.876208:0.153162:0.861726:0.153162:0.000000:0.000000:0.000000
m:@0.876208:0.163092:0.885661:0.163092:0.885661:0.153232:0.876208:0.153232:0.000000
120 :@0.801573:0.206483:0.822057:0.206483:0.822057:0.196552:0.801573:0.196552:0.000000:0.000000:0.000000:0.000000
m:@0.822057:0.206483:0.831509:0.206483:0.831509:0.196623:0.822057:0.196623:0.000000
C:@0.892726:0.199880:0.899219:0.199880:0.899219:0.190021:0.892726:0.190021:0.000000
H:@0.820138:0.199002:0.827473:0.199002:0.827473:0.189143:0.820138:0.189143:0.000000
A:@0.726609:0.199880:0.733254:0.199880:0.733254:0.190021:0.726609:0.190021:0.000000
B:@0.821718:0.138017:0.827789:0.138017:0.827789:0.128158:0.821718:0.128158:0.000000
h:@0.826971:0.166703:0.833218:0.166703:0.833218:0.156843:0.826971:0.156843:0.000000
70°:@0.870521:0.189412:0.886243:0.189412:0.886243:0.179482:0.870521:0.179482:0.000000:0.000000:0.000000
a:@0.613856:0.643196:0.618447:0.643196:0.618447:0.635254:0.613856:0.635254:0.000000
A:@0.533011:0.676672:0.538008:0.676672:0.538008:0.668731:0.533011:0.668731:0.000000
D:@0.586148:0.676534:0.591839:0.676534:0.591839:0.668592:0.586148:0.668592:0.000000
B:@0.610504:0.676157:0.615069:0.676157:0.615069:0.668216:0.610504:0.668216:0.000000
C:@0.612615:0.624890:0.617497:0.624890:0.617497:0.616948:0.612615:0.616948:0.000000
12 :@0.576763:0.648999:0.587177:0.648999:0.587177:0.641063:0.576763:0.641063:0.000000:0.000000:0.000000
km:@0.586940:0.648999:0.597882:0.648999:0.597882:0.641057:0.586940:0.641057:0.000000:0.000000
8 :@0.553445:0.677233:0.559822:0.677233:0.559822:0.669298:0.553445:0.669298:0.000000:0.000000
km:@0.559822:0.677233:0.571001:0.677233:0.571001:0.669292:0.559822:0.669292:0.000000:0.000000
120º:@0.570087:0.669008:0.586746:0.669008:0.586746:0.661073:0.570087:0.661073:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.711725:0.706713:0.711725:0.656404:0.700336:0.656404:0.700336:0.706713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para hallar el ángulo de :@0.733044:0.361243:0.891656:0.361243:0.891656:0.346997:0.733044:0.346997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un triángulo rectángulo, :@0.733044:0.376330:0.897802:0.376330:0.897802:0.362085:0.733044:0.362085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se aplica la inversa de la :@0.733044:0.391418:0.894653:0.391418:0.894653:0.377173:0.733044:0.377173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función trigonométrica :@0.733044:0.406506:0.891821:0.406506:0.891821:0.392260:0.733044:0.392260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se está utilizando.:@0.733044:0.421593:0.880277:0.421593:0.880277:0.407348:0.733044:0.407348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.867349:0.443187:0.871432:0.443187:0.871432:0.436240:0.867349:0.436240:0.000000
Sen:@0.734870:0.448819:0.754687:0.448819:0.758454:0.436823:0.738636:0.436823:0.000000:0.000000:0.000000
a:@0.789769:0.442512:0.797048:0.442512:0.800814:0.430515:0.793536:0.430515:0.000000
b:@0.789767:0.456901:0.797045:0.456901:0.800812:0.444905:0.793533:0.444905:0.000000
Sen:@0.840737:0.448819:0.860555:0.448819:0.864321:0.436823:0.844504:0.436823:0.000000:0.000000:0.000000
a:@0.878316:0.442512:0.885595:0.442512:0.889361:0.430515:0.882082:0.430515:0.000000
b:@0.878313:0.456901:0.885592:0.456901:0.889358:0.444905:0.882079:0.444905:0.000000
β:@0.761991:0.449316:0.713398:0.449316:0.716983:0.437898:0.765576:0.437898:0.000000
β:@0.818519:0.449316:0.769927:0.449316:0.773511:0.437898:0.822104:0.437898:0.000000
():@0.757553:0.451116:0.777334:0.451116:0.777334:0.436500:0.757553:0.436500:0.000000:0.000000
=:@0.779621:0.449316:0.787565:0.449316:0.787565:0.437898:0.779621:0.437898:0.000000
→:@0.802687:0.449316:0.816970:0.449316:0.816970:0.437898:0.802687:0.437898:0.000000
=:@0.831078:0.449316:0.839023:0.449316:0.839023:0.437898:0.831078:0.437898:0.000000
⎛ ⎞:@0.872320:0.442218:0.895372:0.442218:0.895372:0.430799:0.872320:0.430799:0.000000:0.000000:0.000000
⎝ ⎠:@0.872320:0.457114:0.895372:0.457114:0.895372:0.445696:0.872320:0.445696:0.000000:0.000000:0.000000
⎜ ⎟:@0.872320:0.450300:0.895372:0.450300:0.895372:0.438881:0.872320:0.438881:0.000000:0.000000:0.000000
−:@0.862828:0.443474:0.867421:0.443474:0.867421:0.436873:0.862828:0.436873:0.000000
Solo se puede hallar el :@0.733044:0.486635:0.886412:0.486635:0.886412:0.472389:0.733044:0.472389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo de un triángulo :@0.733044:0.501722:0.890682:0.501722:0.890682:0.487477:0.733044:0.487477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
usando las funciones :@0.733044:0.516810:0.876712:0.516810:0.876712:0.502565:0.733044:0.502565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seno, coseno o :@0.733044:0.531897:0.836490:0.531897:0.836490:0.517652:0.733044:0.517652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tangente.:@0.733044:0.546985:0.796969:0.546985:0.796969:0.532740:0.733044:0.532740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para obtener el valor :@0.733044:0.569202:0.873446:0.569202:0.873446:0.554956:0.733044:0.554956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del ángulo en la :@0.733044:0.584289:0.843827:0.584289:0.843827:0.570044:0.733044:0.570044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculadora, ingresa a::@0.733044:0.599377:0.878738:0.599377:0.878738:0.585132:0.733044:0.585132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shift:@0.733044:0.621593:0.761690:0.621593:0.761690:0.606719:0.733044:0.606719:0.000000:0.000000:0.000000:0.000000:0.000000
 la función el valor.:@0.761690:0.621593:0.885069:0.621593:0.885069:0.607348:0.761690:0.607348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo: Si :@0.733044:0.643810:0.835334:0.643810:0.835334:0.629565:0.733044:0.629565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sen A:@0.733044:0.658897:0.768978:0.658897:0.768978:0.644024:0.733044:0.644024:0.000000:0.000000:0.000000:0.000000:0.000000
   = 0,86:@0.756313:0.658897:0.813740:0.658897:0.813740:0.644652:0.756313:0.644652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shift sen:@0.733044:0.681114:0.786233:0.681114:0.786233:0.666240:0.733044:0.666240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0,86:@0.786233:0.681114:0.817342:0.681114:0.817342:0.666869:0.786233:0.666869:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.733044:0.703330:0.742040:0.703330:0.742040:0.688457:0.733044:0.688457:0.000000
 = 60°:@0.742040:0.703330:0.780637:0.703330:0.780637:0.689085:0.742040:0.689085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Uso de la  :@0.769093:0.325939:0.848830:0.325939:0.848830:0.309038:0.769093:0.309038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculadora:@0.769093:0.338511:0.861174:0.338511:0.861174:0.321610:0.769093:0.321610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se llaman ángulos :@0.731459:0.815654:0.856767:0.815654:0.856767:0.801409:0.731459:0.801409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suplementarios :@0.731459:0.830742:0.838522:0.830742:0.838522:0.816496:0.731459:0.816496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aquellos que al :@0.731459:0.845829:0.835692:0.845829:0.835692:0.831584:0.731459:0.831584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumarlos dan como :@0.731459:0.860917:0.867438:0.860917:0.867438:0.846672:0.731459:0.846672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultado 180 °.:@0.731459:0.876004:0.833548:0.876004:0.833548:0.861759:0.731459:0.861759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.764031:0.791143:0.865899:0.791143:0.865899:0.774242:0.764031:0.774242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000