ASAP: I need as soon as possible with this question I have taken a picture of. If you could tell me how to do it and the answer, that will be greatly appreciated!!!

ASAP I need as soon as possible with this question I have taken a picture of If you could tell me how to do it and the answer that will be greatly appreciated class=

Respuesta :

Answer:

The answer to your question is h = 125.85 ft = 126 ft

Step-by-step explanation:

Process

1.- Determine two equations to solve the problem

    [tex]tan 14 = \frac{h}{x}[/tex]                     (1)

    [tex]tan 47 = \frac{h}{x - 386}[/tex]           (2)

    from (1)                           h = xtan14

    substitute in (2)             tan 47 = [tex]\frac{xtan14}{x - 386}[/tex]

    solve for x                     tan47(x - 386) = xtan14

                                          1.07x - 413.9 = 0.25x

                                          1.07x - 0.25x = 413.9

                                           0.82x = 413.9

                                           x = 413.9/0.82

                                           x = 504.76 ft

2.- Calculate h

                                          h = 504.76 tan 14

                                          h = 125.85 ft = 126 ft