estion
Michael is 6 feet tall and is standing on top of
a building, looking at a park in the distance.
The angle of depression is 53°. If the building
you are standing on is 100 feet tall, how far
away is the par!? Round your answer to the
nearest tenth.

Respuesta :

Answer:

79.9 ft

Solution,

Let AB is the Building and MA is Boy's height.

Suppose BC = X feet

In MBC

[tex]tan \: 53 = \frac{ma + ab}{bc} \\ tan \: 53 = \frac{106}{x} \\ tan \: 53 \times x = 106 \\ x = \frac{106}{tan \: 53} \\ x = 79.9 \: ft[/tex]

Hope this helps...

Good luck on your assignment...

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