Taller:@0.186147:0.075224:0.260568:0.075224:0.260568:0.047184:0.186147:0.047184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluación formativa:@0.123672:0.093685:0.321677:0.093685:0.321677:0.073712:0.123672:0.073712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluación formativa:@0.303782:0.074925:0.552575:0.074925:0.552575:0.050342:0.303782:0.050342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Taller:@0.136183:0.077858:0.213378:0.077858:0.213378:0.047130:0.136183:0.047130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 230:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000 230:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000 I.M.4.6.2.:@0.139073:0.103262:0.184560:0.103262:0.184560:0.092507:0.139073:0.092507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1.:@0.096359:0.126056:0.111378:0.126056:0.111378:0.108920:0.096359:0.108920:0.000000:0.000000 :@0.111378:0.126056:0.115100:0.126056:0.115100:0.108920:0.111378:0.108920:0.000000 Halla:@0.124848:0.126056:0.165426:0.126056:0.165426:0.109155:0.124848:0.109155:0.000000:0.000000:0.000000:0.000000:0.000000 el valor de los datos faltantes en las siguien-:@0.165426:0.126056:0.485735:0.126056:0.485735:0.110386:0.165426:0.110386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tes situaciones.:@0.124848:0.142652:0.235412:0.142652:0.235412:0.126982:0.124848:0.126982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a):@0.124848:0.166371:0.140364:0.166371:0.140364:0.149235:0.124848:0.149235:0.000000:0.000000 :@0.140364:0.166371:0.144087:0.166371:0.144087:0.149235:0.140364:0.149235:0.000000 Un helicóptero se encuentra volando a :@0.153337:0.166371:0.489789:0.166371:0.489789:0.150701:0.153337:0.150701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 100 del suelo. Si desde el helicóptero una :@0.153337:0.182967:0.489732:0.182967:0.489732:0.167298:0.153337:0.167298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.185107:0.182967:0.199738:0.182967:0.199738:0.166606:0.185107:0.166606:0.000000 persona observa un punto , con un ángulo :@0.153337:0.199564:0.489771:0.199564:0.489771:0.183894:0.153337:0.183894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.358124:0.199564:0.366895:0.199564:0.366895:0.183203:0.358124:0.183203:0.000000 de 60°, ¿cuál es la distancia del helicóptero al :@0.153337:0.216160:0.489769:0.216160:0.489769:0.200490:0.153337:0.200490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 punto ? ¿Cuál es la distancia del punto a la :@0.153337:0.232757:0.489789:0.232757:0.489789:0.217087:0.153337:0.217087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.202723:0.232757:0.211495:0.232757:0.211495:0.216395:0.202723:0.216395:0.000000 P:@0.448233:0.232757:0.457005:0.232757:0.457005:0.216395:0.448233:0.216395:0.000000 sombra proyectada perpendicularmente del :@0.153337:0.249353:0.489767:0.249353:0.489767:0.233683:0.153337:0.233683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 helicóptero? ¿Cuál es el ángulo ? :@0.153337:0.265949:0.403474:0.265949:0.403474:0.250280:0.153337:0.250280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.380696:0.265949:0.392600:0.265949:0.392600:0.249588:0.380696:0.249588:0.000000:0.000000 100:@0.202212:0.365405:0.219795:0.365405:0.219795:0.355099:0.202212:0.355099:0.000000:0.000000:0.000000 m:@0.218892:0.365234:0.230203:0.365234:0.230203:0.354919:0.218892:0.354919:0.000000:0.000000 60 º:@0.266087:0.354773:0.281012:0.353118:0.281012:0.342811:0.266087:0.344467:0.000000:0.000000:0.000000:0.000000 d :@0.356548:0.372925:0.364625:0.372925:0.364625:0.362610:0.356548:0.362610:0.000000:0.000000 P:@0.422239:0.415780:0.428317:0.415780:0.428317:0.405474:0.422239:0.405474:0.000000 :@0.426075:0.414990:0.427388:0.414990:0.427388:0.408475:0.426075:0.408475:0.000000 a:@0.321211:0.415779:0.326718:0.415779:0.326718:0.405473:0.321211:0.405473:0.000000 :@0.324689:0.414990:0.326002:0.414990:0.326002:0.408475:0.324689:0.408475:0.000000 b) :@0.124848:0.469006:0.145229:0.469006:0.145229:0.451870:0.124848:0.451870:0.000000:0.000000:0.000000 La estatura de una persona es 1,90 , y el :@0.153337:0.469006:0.489787:0.469006:0.489787:0.453336:0.153337:0.453336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.432571:0.469006:0.447203:0.469006:0.447203:0.452645:0.432571:0.452645:0.000000 ángulo de elevación del sol, 18°. ¿Cuál es la :@0.153337:0.485602:0.489715:0.485602:0.489715:0.469933:0.153337:0.469933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 longitud de la sombra proyectada por la :@0.153337:0.502199:0.489789:0.502199:0.489789:0.486529:0.153337:0.486529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 persona?:@0.153337:0.518795:0.219824:0.518795:0.219824:0.503125:0.153337:0.503125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.263632:0.653458:0.270863:0.653458:0.270863:0.638654:0.263632:0.638654:0.000000 1,90:@0.364277:0.613425:0.392906:0.613425:0.392906:0.598632:0.364277:0.598632:0.000000:0.000000:0.000000:0.000000 m:@0.392906:0.613425:0.409139:0.613425:0.409139:0.598620:0.392906:0.598620:0.000000:0.000000 18º:@0.221868:0.636240:0.244693:0.634505:0.244693:0.619713:0.221868:0.621448:0.000000:0.000000:0.000000 c) :@0.124848:0.704490:0.142668:0.704490:0.142668:0.687354:0.124848:0.687354:0.000000:0.000000:0.000000 Un faro tiene una altura de 70 . Si a lo lejos :@0.153337:0.704490:0.489771:0.704490:0.489771:0.688820:0.153337:0.688820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.380734:0.704490:0.395366:0.704490:0.395366:0.688128:0.380734:0.688128:0.000000 se divisa un barco, ¿cuál es la distancia desde :@0.153337:0.721086:0.489789:0.721086:0.489789:0.705416:0.153337:0.705416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la base del faro al barco? ¿Cuál es la distancia :@0.153337:0.737682:0.489808:0.737682:0.489808:0.722013:0.153337:0.722013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 desde lo alto del faro al barco? :@0.153337:0.754279:0.402940:0.754279:0.402940:0.738609:0.153337:0.738609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Utiliza:@0.406773:0.754279:0.457338:0.754279:0.457338:0.737378:0.406773:0.737378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los :@0.457338:0.754279:0.489826:0.754279:0.489826:0.738609:0.457338:0.738609:0.000000:0.000000:0.000000:0.000000:0.000000 datos de la figura.:@0.153337:0.770875:0.283068:0.770875:0.283068:0.755205:0.153337:0.755205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.124848:0.906288:0.128571:0.906288:0.128571:0.889152:0.124848:0.889152:0.000000 64 º:@0.301167:0.885024:0.317348:0.883239:0.317348:0.872889:0.301167:0.874675:0.000000:0.000000:0.000000:0.000000 h:@0.345783:0.847217:0.351909:0.847217:0.351909:0.836859:0.345783:0.836859:0.000000 = 70 :@0.351313:0.847217:0.374235:0.847217:0.374235:0.836867:0.351313:0.836867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.373638:0.847217:0.382908:0.847217:0.382908:0.836859:0.373638:0.836859:0.000000 :@0.124851:0.930014:0.128574:0.930014:0.128574:0.912879:0.124851:0.912879:0.000000 2.:@0.514246:0.109711:0.529264:0.109711:0.529264:0.092575:0.514246:0.092575:0.000000:0.000000 :@0.529264:0.109711:0.532987:0.109711:0.532987:0.092575:0.529264:0.092575:0.000000 Problema-decisión.:@0.547489:0.109711:0.695922:0.109711:0.695922:0.092700:0.547489:0.092700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.695922:0.109711:0.699644:0.109711:0.699644:0.092575:0.695922:0.092575:0.000000 Decide :@0.700936:0.109711:0.760052:0.109711:0.760052:0.092810:0.700936:0.092810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los procedimientos :@0.761379:0.109711:0.907692:0.109711:0.907692:0.094041:0.761379:0.094041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y estrategias para resolver el siguiente problema. :@0.547508:0.126307:0.907674:0.126307:0.907674:0.110637:0.547508:0.110637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514264:0.146472:0.517987:0.146472:0.517987:0.129336:0.514264:0.129336:0.000000 La distancia horizontal desde un punto a otro es :@0.547508:0.146472:0.907676:0.146472:0.907676:0.130802:0.547508:0.130802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 000 , como se observa en la figura. ¿Cuál es :@0.547508:0.163068:0.907711:0.163068:0.907711:0.147398:0.547508:0.147398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.594130:0.163068:0.608761:0.163068:0.608761:0.146707:0.594130:0.146707:0.000000 la distancia de la carretera por donde circula el :@0.547508:0.179665:0.907676:0.179665:0.907676:0.163995:0.547508:0.163995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 automóvil? :@0.547508:0.196261:0.632994:0.196261:0.632994:0.180591:0.547508:0.180591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 12º:@0.687094:0.274340:0.711182:0.272578:0.711182:0.257218:0.687094:0.258980:0.000000:0.000000:0.000000 5 000 :@0.705210:0.300651:0.747367:0.300651:0.747367:0.285292:0.705210:0.285292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.747367:0.300651:0.761124:0.300651:0.761124:0.285279:0.747367:0.285279:0.000000 5.:@0.514246:0.611345:0.529264:0.611345:0.529264:0.594209:0.514246:0.594209:0.000000:0.000000 :@0.529264:0.611345:0.533300:0.611345:0.533300:0.595675:0.529264:0.595675:0.000000 Encuentra:@0.542735:0.611345:0.623706:0.611345:0.623706:0.594444:0.542735:0.594444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los ángulos en cada problema, :@0.623706:0.611345:0.853148:0.611345:0.853148:0.595675:0.623706:0.595675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dibuja:@0.852614:0.611345:0.903640:0.611345:0.903640:0.594444:0.852614:0.594444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.903640:0.611345:0.907676:0.611345:0.907676:0.595675:0.903640:0.595675:0.000000 si es necesario.:@0.542735:0.627941:0.650645:0.627941:0.650645:0.612272:0.542735:0.612272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542735:0.651660:0.561973:0.651660:0.561973:0.634525:0.542735:0.634525:0.000000:0.000000:0.000000 La altura de una pared es 3 . Si una escalera :@0.571224:0.651660:0.907657:0.651660:0.907657:0.635991:0.571224:0.635991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.773725:0.651660:0.788357:0.651660:0.788357:0.635299:0.773725:0.635299:0.000000 se encuentra a 5 de la pared, y la distancia :@0.571224:0.668257:0.907657:0.668257:0.907657:0.652587:0.571224:0.652587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.698393:0.668257:0.713025:0.668257:0.713025:0.651895:0.698393:0.651895:0.000000 de la escalera a lo alto de la pared es 5,8 , :@0.571224:0.684853:0.907676:0.684853:0.907676:0.669183:0.571224:0.669183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.886058:0.684853:0.900690:0.684853:0.900690:0.668492:0.886058:0.668492:0.000000 ¿qué ángulos forma la escalera con la pared :@0.571224:0.701449:0.907694:0.701449:0.907694:0.685780:0.571224:0.685780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.903640:0.701449:0.907676:0.701449:0.907676:0.685780:0.903640:0.685780:0.000000 y el piso?:@0.571224:0.718046:0.642005:0.718046:0.642005:0.702376:0.571224:0.702376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.542735:0.848051:0.546457:0.848051:0.546457:0.830915:0.542735:0.830915:0.000000 α:@0.735689:0.779240:0.744627:0.779240:0.744627:0.764606:0.735689:0.764606:0.000000 7 :@0.782363:0.796612:0.794124:0.796612:0.794124:0.781978:0.782363:0.781978:0.000000:0.000000 m:@0.794124:0.796612:0.807231:0.796612:0.807231:0.781966:0.794124:0.781966:0.000000 3 :@0.735206:0.801129:0.746967:0.801129:0.746967:0.786495:0.735206:0.786495:0.000000:0.000000 m:@0.746967:0.801129:0.760074:0.801129:0.760074:0.786483:0.746967:0.786483:0.000000 5 :@0.756328:0.844727:0.767894:0.844727:0.767894:0.830093:0.756328:0.830093:0.000000:0.000000 m:@0.767699:0.844727:0.780806:0.844727:0.780806:0.830081:0.767699:0.830081:0.000000 b) :@0.542738:0.871781:0.563119:0.871781:0.563119:0.854645:0.542738:0.854645:0.000000:0.000000:0.000000 Los lados de un rectángulo miden 12 :@0.571227:0.871781:0.832939:0.871781:0.832939:0.856111:0.571227:0.856111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.832736:0.871781:0.854573:0.871781:0.854573:0.855420:0.832736:0.855420:0.000000:0.000000 y 9 :@0.854112:0.871781:0.881993:0.871781:0.881993:0.856111:0.854112:0.856111:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.881790:0.871781:0.903627:0.871781:0.903627:0.855420:0.881790:0.855420:0.000000:0.000000 :@0.903644:0.871781:0.907679:0.871781:0.907679:0.856111:0.903644:0.856111:0.000000 respectivamente. ¿Cuánto mide cada uno de los :@0.571227:0.888377:0.907677:0.888377:0.907677:0.872708:0.571227:0.872708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ángulos que forman la diagonal con los lados del :@0.571227:0.904974:0.907716:0.904974:0.907716:0.889304:0.571227:0.889304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 rectángulo? ¿Cuánto mide la diagonal?:@0.571227:0.921570:0.840087:0.921570:0.840087:0.905900:0.571227:0.905900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Shutterstock, 386504383.:@0.472276:0.903074:0.472276:0.827795:0.460888:0.827795:0.460888:0.903074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Shutterstock, 401941669.:@0.905433:0.292848:0.905433:0.217569:0.894044:0.217569:0.894044:0.292848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Archivo editorial.:@0.905433:0.827621:0.905433:0.777312:0.894044:0.777312:0.894044:0.827621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Archivo editorial.:@0.472276:0.635329:0.472276:0.585020:0.460888:0.585020:0.460888:0.635329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Archivo editorial.:@0.472276:0.417472:0.472276:0.367163:0.460888:0.367163:0.460888:0.417472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. :@0.514246:0.525292:0.532987:0.525292:0.532987:0.508156:0.514246:0.508156:0.000000:0.000000:0.000000 La vista lateral de una escalera eléctrica muestra un :@0.542735:0.525292:0.907694:0.525292:0.907694:0.509622:0.542735:0.509622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 triángulo rectángulo de base 14 m. La inclinación :@0.542735:0.541888:0.907704:0.541888:0.907704:0.526218:0.542735:0.526218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de la escalera es de 40º.:@0.542735:0.558484:0.715365:0.558484:0.715365:0.542815:0.542735:0.542815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.578649:0.518281:0.578649:0.518281:0.562979:0.514246:0.562979:0.000000 Calcula :@0.547489:0.578649:0.608927:0.578649:0.608927:0.561748:0.547489:0.561748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la longitud de la escalera.:@0.608927:0.578649:0.793646:0.578649:0.793646:0.562979:0.608927:0.562979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. :@0.514246:0.324503:0.532987:0.324503:0.532987:0.307367:0.514246:0.307367:0.000000:0.000000:0.000000 El esquema muestra la vela y el mástil para un :@0.542735:0.324503:0.907713:0.324503:0.907713:0.308833:0.542735:0.308833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 bote que se construye en un astillero. :@0.542735:0.341099:0.819091:0.341099:0.819091:0.325430:0.542735:0.325430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Determina:@0.818851:0.341099:0.903618:0.341099:0.903618:0.324199:0.818851:0.324199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.903618:0.341099:0.907654:0.341099:0.907654:0.325430:0.903618:0.325430:0.000000 la altura del mástil.:@0.542735:0.357696:0.678322:0.357696:0.678322:0.342026:0.542735:0.342026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 15 m:@0.715142:0.411176:0.728638:0.428720:0.741788:0.423022:0.728292:0.405478:0.000000:0.000000:0.000000:0.000000 2 m:@0.753262:0.488861:0.773714:0.488861:0.773714:0.477465:0.753262:0.477465:0.000000:0.000000:0.000000 x:@0.668964:0.434247:0.668964:0.429932:0.653780:0.429932:0.653780:0.434247:0.000000 60º:@0.727447:0.474698:0.745044:0.474698:0.745044:0.463302:0.727447:0.463302:0.000000:0.000000:0.000000 a = 173,3 m:@0.163317:0.430054:0.217869:0.430054:0.217869:0.420082:0.163317:0.420082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d = 200 m.:@0.163317:0.440113:0.213202:0.440113:0.213202:0.430142:0.163317:0.430142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ángulo P = 30 .:@0.163317:0.450173:0.234333:0.450173:0.234333:0.440201:0.163317:0.440201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 º:@0.228282:0.450217:0.232293:0.450217:0.232293:0.440175:0.228282:0.440175:0.000000 5,84 :@0.163317:0.669708:0.185093:0.669708:0.185093:0.659736:0.163317:0.659736:0.000000:0.000000:0.000000:0.000000:0.000000 m.:@0.185093:0.669708:0.196527:0.669708:0.196527:0.659296:0.185093:0.659296:0.000000:0.000000 34,14 m y 77,8 m.:@0.167233:0.927668:0.248054:0.927668:0.248054:0.917696:0.167233:0.917696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 111,7 :@0.548866:0.212429:0.584656:0.212429:0.584656:0.202457:0.548866:0.202457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m.:@0.584656:0.212429:0.596090:0.212429:0.596090:0.202017:0.584656:0.202017:0.000000:0.000000 Ángulo 1. 59,04°:@0.572472:0.781693:0.648226:0.781693:0.648226:0.771721:0.572472:0.771721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ángulo 2. 90°:@0.572472:0.791753:0.634741:0.791753:0.634741:0.781781:0.572472:0.781781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ángulo 3. 30,96°:@0.572472:0.801812:0.648226:0.801812:0.648226:0.791841:0.572472:0.791841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ángulo 1. 53,13°:@0.572472:0.932720:0.648226:0.932720:0.648226:0.922748:0.572472:0.922748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ángulo 2. 90°:@0.572472:0.942780:0.634741:0.942780:0.634741:0.932808:0.572472:0.932808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ángulo 3. 36,87°:@0.572472:0.952839:0.648226:0.952839:0.648226:0.942868:0.572472:0.942868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El mástil debe medir 14,99 m de altura.:@0.694688:0.356776:0.869134:0.356776:0.869134:0.346804:0.694688:0.346804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La escalera tiene 18,28 m de longitud.:@0.547330:0.591237:0.717039:0.591237:0.717039:0.581265:0.547330:0.581265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La diagonal mide 15 cm.:@0.790565:0.932729:0.901112:0.932729:0.901112:0.922757:0.790565:0.922757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000