Question

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 park? Round your answer to the
nearest tenth.
ft away from the
The park is
building.

Answer 1

79.9 feet.

Explanation:

If you draw out the problem, you can easily visualize it.

We are given the opposite side length and the angle, and we need to find the adjacent. So, we will use tangent (soh cah toa - tangent: opposite/adjacent).

tan(53) = (100 + 6) / x

tan(53) = 106 / x

x = 106 / (tan(53))

x = 106 / 1.327044822

x = 79.87672931

Round your answer to the nearest tenth!

So, the park is approximately 79.9 feet away!

Hope this helps!