228:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
M.4.2.17.:@0.096359:0.936830:0.142269:0.936830:0.142269:0.926075:0.096359:0.926075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolver y plantear problemas que involucren triángulos rectángulos en contextos reales, e interpretar y juzgar la validez de las soluciones obtenidas dentro del :@0.142269:0.936830:0.905672:0.936830:0.905672:0.926858:0.142269:0.926858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contexto del problema.:@0.096359:0.946889:0.205674:0.946889:0.205674:0.936918:0.096359:0.936918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicaciones de las :@0.305303:0.070161:0.585403:0.070161:0.585403:0.039433:0.305303:0.039433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relaciones trigonométricas:@0.305303:0.099079:0.692150:0.099079:0.692150:0.068351:0.305303:0.068351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 4:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una persona viaja a Ecuador a conocer el centro histórico de Quito, declarado :@0.305079:0.220179:0.907460:0.220179:0.907460:0.204509:0.305079:0.204509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Patrimonio Cultural de la Humanidad por la UNESCO. Entre los muchos sitios que :@0.305079:0.236775:0.907386:0.236775:0.907386:0.221105:0.305079:0.221105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
visita, se encuentra la Basílica del Voto Nacional, que tiene una altura de 115  hasta :@0.305079:0.253371:0.907475:0.253371:0.907475:0.237702:0.305079:0.237702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 m:@0.844286:0.253371:0.861332:0.253371:0.861332:0.237010:0.844286:0.237010:0.000000:0.000000
su cúpula más alta. Si desde ahí se encuentra otro turista observando al primer :@0.305079:0.269968:0.907441:0.269968:0.907441:0.254298:0.305079:0.254298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
viajero con un ángulo de 60°, ¿cuál es la distancia entre las dos personas? ¿Cuál es :@0.305079:0.286564:0.907497:0.286564:0.907497:0.270894:0.305079:0.270894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la distancia entre el viajero que se encuentra en el suelo al pie de la Basílica? ¿Cuál :@0.305079:0.303160:0.907368:0.303160:0.907368:0.287491:0.305079:0.287491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es el ángulo con el que el primer viajero observa al segundo? :@0.305079:0.319757:0.756825:0.319757:0.756825:0.304087:0.305079:0.304087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver este problema, es necesario dibujar la situación como se muestra en :@0.305079:0.367209:0.907532:0.367209:0.907532:0.351539:0.305079:0.351539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ilustración.:@0.305079:0.383805:0.400257:0.383805:0.400257:0.368135:0.305079:0.368135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.305079:0.431257:0.368359:0.431257:0.368359:0.414356:0.305079:0.414356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: identifiquemos los datos e incógnitas del problema.:@0.368359:0.431257:0.755664:0.431257:0.755664:0.415587:0.368359:0.415587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Podemos observar que se forma un triángulo rectángulo, y se conoce un ángulo :@0.305079:0.454976:0.907382:0.454976:0.907382:0.439306:0.305079:0.439306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agudo y el cateto  , siendo las incógnitas la hipotenusa y el cateto  .:@0.305079:0.471572:0.807040:0.471572:0.807040:0.455902:0.305079:0.455902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.436669:0.471572:0.446712:0.471572:0.446712:0.454671:0.436669:0.454671:0.000000
a:@0.793883:0.471572:0.803834:0.471572:0.803834:0.454671:0.793883:0.454671:0.000000
Segundo:@0.305079:0.519024:0.376947:0.519024:0.376947:0.502123:0.305079:0.502123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: utilizaremos la razón trigonométrica coseno para determinar la distancia :@0.376947:0.519024:0.907513:0.519024:0.907513:0.503354:0.376947:0.503354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre ambos turistas.:@0.305079:0.535620:0.457840:0.535620:0.457840:0.519951:0.305079:0.519951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.333714:0.568142:0.336920:0.568142:0.336920:0.552472:0.333714:0.552472:0.000000
60:@0.345341:0.568142:0.363124:0.568142:0.363124:0.552472:0.345341:0.552472:0.000000:0.000000
; Cos 60:@0.407848:0.568142:0.477302:0.568142:0.477302:0.552472:0.407848:0.552472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
..:@0.412252:0.568142:0.418499:0.568142:0.418499:0.552472:0.412252:0.552472:0.000000:0.000000
.:@0.447891:0.568142:0.451098:0.568142:0.451098:0.552472:0.447891:0.552472:0.000000
115:@0.507320:0.559581:0.533893:0.559581:0.533893:0.543911:0.507320:0.543911:0.000000:0.000000:0.000000
. Despejando la incógnita  .:@0.535754:0.568142:0.736856:0.568349:0.736856:0.552679:0.535754:0.552472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cos:@0.305531:0.568142:0.330700:0.568142:0.335496:0.551780:0.310327:0.551780:0.000000:0.000000:0.000000
b:@0.392491:0.559581:0.401760:0.559581:0.406556:0.543219:0.397287:0.543219:0.000000
c:@0.392695:0.579104:0.400361:0.579104:0.405157:0.562743:0.397491:0.562743:0.000000
c:@0.514152:0.579104:0.521818:0.579104:0.526614:0.562743:0.518948:0.562743:0.000000
(:@0.338530:0.571275:0.344666:0.571275:0.344666:0.551341:0.338530:0.551341:0.000000
):@0.370520:0.571275:0.376657:0.571275:0.376657:0.551341:0.370520:0.551341:0.000000
(:@0.452708:0.571275:0.458844:0.571275:0.458844:0.551341:0.452708:0.551341:0.000000
):@0.484698:0.571275:0.490834:0.571275:0.490834:0.551341:0.484698:0.551341:0.000000
°=:@0.362926:0.568819:0.389849:0.568819:0.389849:0.553246:0.362926:0.553246:0.000000:0.000000
°=:@0.477104:0.568819:0.504027:0.568819:0.504027:0.553246:0.477104:0.553246:0.000000:0.000000
c:@0.725726:0.568349:0.733650:0.568349:0.733650:0.551448:0.725726:0.551448:0.000000
115:@0.356174:0.605983:0.382746:0.605983:0.382746:0.590313:0.356174:0.590313:0.000000:0.000000:0.000000
.:@0.361296:0.625511:0.364503:0.625511:0.364503:0.609841:0.361296:0.609841:0.000000
60:@0.372924:0.625511:0.390707:0.625511:0.390707:0.609841:0.372924:0.609841:0.000000:0.000000
230:@0.421868:0.614544:0.448441:0.614544:0.448441:0.598874:0.421868:0.598874:0.000000:0.000000:0.000000
c:@0.305896:0.614547:0.313562:0.614547:0.318358:0.598186:0.310692:0.598186:0.000000
Cos:@0.333119:0.625510:0.358291:0.625510:0.363087:0.609148:0.337915:0.609148:0.000000:0.000000:0.000000
(:@0.366119:0.628642:0.372256:0.628642:0.372256:0.608708:0.366119:0.608708:0.000000
):@0.398110:0.628642:0.404246:0.628642:0.404246:0.608708:0.398110:0.608708:0.000000
=:@0.320731:0.615225:0.330847:0.615225:0.330847:0.599652:0.320731:0.599652:0.000000
°:@0.390516:0.626192:0.397887:0.626192:0.397887:0.610620:0.390516:0.610620:0.000000
=:@0.408778:0.615225:0.418895:0.615225:0.418895:0.599652:0.408778:0.599652:0.000000
La distancia entre los dos turistas es 230  .:@0.305067:0.657131:0.618388:0.657131:0.618388:0.641461:0.305067:0.641461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.600550:0.657131:0.615182:0.657131:0.615182:0.640770:0.600550:0.640770:0.000000
Tercero:@0.305067:0.704583:0.363630:0.704583:0.363630:0.687682:0.305067:0.687682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: aplicamos el teorema de Pitágoras para determinar la distancia entre el :@0.363630:0.704583:0.907466:0.704583:0.907466:0.688913:0.363630:0.688913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primer turista y la base de la Basílica.:@0.305067:0.721179:0.570110:0.721179:0.570110:0.705509:0.305067:0.705509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.320679:0.750533:0.330795:0.750533:0.330795:0.734960:0.320679:0.734960:0.000000
−:@0.365181:0.750533:0.375298:0.750533:0.375298:0.734960:0.365181:0.734960:0.000000
−:@0.494590:0.750533:0.504707:0.750533:0.504707:0.734960:0.494590:0.734960:0.000000
=:@0.544124:0.750533:0.554240:0.750533:0.554240:0.734960:0.544124:0.734960:0.000000
a:@0.308062:0.749856:0.317331:0.749856:0.317331:0.733494:0.308062:0.733494:0.000000
c:@0.346963:0.749856:0.354629:0.749856:0.354629:0.733494:0.346963:0.733494:0.000000
b:@0.378051:0.749856:0.387320:0.749856:0.387320:0.733494:0.378051:0.733494:0.000000
a:@0.416104:0.749856:0.425373:0.749856:0.425373:0.733494:0.416104:0.733494:0.000000
;:@0.395225:0.749856:0.398431:0.749856:0.398431:0.734186:0.395225:0.734186:0.000000
= 230:@0.430201:0.749856:0.484562:0.749856:0.484562:0.734186:0.430201:0.734186:0.000000:0.000000:0.000000:0.000000:0.000000
115:@0.506307:0.749856:0.532880:0.749856:0.532880:0.734186:0.506307:0.734186:0.000000:0.000000:0.000000
199:@0.556356:0.749856:0.582929:0.749856:0.582929:0.734186:0.556356:0.734186:0.000000:0.000000:0.000000
2:@0.355649:0.742193:0.360861:0.742193:0.360861:0.733112:0.355649:0.733112:0.000000
2:@0.387902:0.742193:0.393113:0.742193:0.393113:0.733112:0.387902:0.733112:0.000000
2:@0.485065:0.742193:0.490277:0.742193:0.490277:0.733112:0.485065:0.733112:0.000000
2:@0.532600:0.742193:0.537812:0.742193:0.537812:0.733112:0.532600:0.733112:0.000000
El turista se encuentra a 199   de la base de la iglesia.:@0.305079:0.779940:0.698581:0.779940:0.698581:0.764271:0.305079:0.764271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.513899:0.779940:0.528530:0.779940:0.528530:0.763579:0.513899:0.763579:0.000000
Cuarto:@0.305079:0.827392:0.359201:0.827392:0.359201:0.810491:0.305079:0.810491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: encontremos el ángulo con el que el primer turista divisa al segundo.:@0.359201:0.827392:0.872737:0.827392:0.872737:0.811722:0.359201:0.811722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La sumatoria de ángulos internos en un triángulo es 180°, entonces,:@0.305079:0.851111:0.801182:0.851111:0.801182:0.835441:0.305079:0.835441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
°+:@0.325285:0.874259:0.345187:0.874259:0.345187:0.858686:0.325285:0.858686:0.000000:0.000000
°+:@0.365918:0.874259:0.385820:0.874259:0.385820:0.858686:0.365918:0.858686:0.000000:0.000000
=:@0.415397:0.874259:0.425513:0.874259:0.425513:0.858686:0.415397:0.858686:0.000000
°:@0.454039:0.874259:0.461410:0.874259:0.461410:0.858686:0.454039:0.858686:0.000000
B:@0.402765:0.873582:0.411611:0.873582:0.411611:0.857220:0.402765:0.857220:0.000000
90:@0.307697:0.873582:0.325480:0.873582:0.325480:0.857912:0.307697:0.857912:0.000000:0.000000
60:@0.348330:0.873582:0.366113:0.873582:0.366113:0.857912:0.348330:0.857912:0.000000:0.000000
180 ,:@0.427643:0.873582:0.464830:0.873582:0.464830:0.857912:0.427643:0.857912:0.000000:0.000000:0.000000:0.000000:0.000000
B=30°:@0.493761:0.873582:0.536697:0.873582:0.536697:0.857912:0.493761:0.857912:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.388945:0.874453:0.312101:0.874453:0.312101:0.857704:0.388945:0.857704:0.000000
:@0.479940:0.874453:0.403097:0.874453:0.403097:0.857704:0.479940:0.857704:0.000000
El primer turista observa al segundo con un ángulo de 30°.:@0.305079:0.902335:0.733776:0.902335:0.733776:0.886665:0.305079:0.886665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reflexiona:@0.311160:0.166189:0.394987:0.166189:0.394987:0.149288:0.311160:0.149288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿Cómo encontrarías el ángulo con el que miras la altura de un :@0.394987:0.166189:0.900678:0.166189:0.900678:0.150519:0.394987:0.150519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
monumento?:@0.311160:0.182785:0.412031:0.182785:0.412031:0.167115:0.311160:0.167115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.139565:0.470369:0.139565:0.470369:0.122665:0.344861:0.122665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
60º:@0.179754:0.247464:0.194259:0.246368:0.194259:0.236892:0.179754:0.237988:0.000000:0.000000:0.000000
b:@0.152035:0.297538:0.157549:0.297538:0.157549:0.288054:0.152035:0.288054:0.000000
 = 115 :@0.157045:0.297538:0.183126:0.297538:0.183126:0.288062:0.157045:0.288062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.182622:0.297538:0.191108:0.297538:0.191108:0.288054:0.182622:0.288054:0.000000
c:@0.144840:0.279509:0.149283:0.279509:0.149283:0.270025:0.144840:0.270025:0.000000
a:@0.150785:0.330245:0.156268:0.330245:0.156268:0.320761:0.150785:0.320761:0.000000
Vista a la Basílica.:@0.096359:0.347729:0.196743:0.347729:0.196743:0.334909:0.096359:0.334909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El ángulo de elevación :@0.105857:0.424504:0.260094:0.424504:0.260094:0.410259:0.105857:0.410259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es el que forma :@0.105857:0.439591:0.212115:0.439591:0.212115:0.425346:0.105857:0.425346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la horizontal del :@0.105857:0.454679:0.216104:0.454679:0.216104:0.440434:0.105857:0.440434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observador y el lugar :@0.105857:0.469767:0.249808:0.469767:0.249808:0.455521:0.105857:0.455521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observado cuando este :@0.105857:0.484854:0.266592:0.484854:0.266592:0.470609:0.105857:0.470609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está situado arriba del :@0.105857:0.499942:0.256007:0.499942:0.256007:0.485697:0.105857:0.485697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observador.:@0.105857:0.515029:0.184139:0.515029:0.184139:0.500784:0.105857:0.500784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El ángulo de depresión :@0.105857:0.537246:0.263193:0.537246:0.263193:0.523001:0.105857:0.523001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es el que se va a :@0.105857:0.552334:0.217176:0.552334:0.217176:0.538088:0.105857:0.538088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medir por debajo :@0.105857:0.567421:0.225954:0.567421:0.225954:0.553176:0.105857:0.553176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la horizontal del :@0.105857:0.582509:0.237009:0.582509:0.237009:0.568264:0.105857:0.568264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observador.:@0.105857:0.597596:0.184139:0.597596:0.184139:0.583351:0.105857:0.583351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.138428:0.399994:0.240296:0.399994:0.240296:0.383093:0.138428:0.383093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 117938887 / 511563886 / 208526053.:@0.089435:0.331316:0.089435:0.177869:0.078047:0.177869:0.078047:0.331316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.105857:0.668644:0.155996:0.668644:0.155996:0.653531:0.105857:0.653531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente :@0.155829:0.668644:0.237545:0.668644:0.237545:0.654399:0.155829:0.654399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace: :@0.105857:0.683732:0.155293:0.683732:0.155293:0.669486:0.105857:0.669486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10m19:@0.105857:0.698819:0.199988:0.698819:0.199988:0.683694:0.105857:0.683694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Practica :@0.105857:0.721036:0.162949:0.721036:0.162949:0.705923:0.105857:0.705923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relaciones :@0.162781:0.721036:0.232220:0.721036:0.232220:0.706790:0.162781:0.706790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas :@0.105857:0.736123:0.213573:0.736123:0.213573:0.721878:0.105857:0.721878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evalúa :@0.213407:0.736123:0.261838:0.736123:0.261838:0.721011:0.213407:0.721011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tu aprendizaje mediante :@0.105857:0.751211:0.268891:0.751211:0.268891:0.736966:0.105857:0.736966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicios interactivos.:@0.105857:0.766299:0.247279:0.766299:0.247279:0.752053:0.105857:0.752053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.120667:0.642746:0.271568:0.642746:0.271568:0.625845:0.120667:0.625845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta abierta.:@0.416898:0.180200:0.501902:0.180200:0.501902:0.170228:0.416898:0.170228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000