• Asignatura: Matemáticas
  • Autor: eymilizbeth5950
  • hace 9 años

un avion vuela sobre un observador a 350km/h. un minuto despues para ver el avion debe mirar con angulo de elevacion de 20 aque altura viaja el avion

Respuestas

Respuesta dada por: JPancho
6
Eymi,

Tracemos un esbozo para visualizar mejor

                  A              B              O = observador
                                                   A = avión (momento inicial
                                                   B = avión (momento final
                                                
                  O                              Ángulo OBA = 20
                                                   OA = altura avión = ???
                                                   AB = desplazamiento avión en 1 minuto
                                                               v = e/t
                                                               e = AB = v.t = ??
                                                                               v = 350 km/h = 97.2 m/s
                                                                                     (deber convertir)
                                                                               t = 60 s
                                                                               e = (97.2)(60) unidades ok
                                                                                  = 97.2
                                                  AB = 5833 m
                                                 
                                                  Usamos la función tangente
                                                          tag20° = OA/AB
                                                                OA = AB tag20°
                                                                          tag20° = 0.3640
                                                                OA = 5833 x (0.3640)
                                                                      = 2123 m

                       VIAJA A ALTURA DE
                                2123 METROS
                             o
                                2.123 KILÓMETROS
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