Question

A flagpole is propped on the east side corner of the roof of a building. The angle of depression from the top of the flagpole (Angle B) to a point on a neighboring building is 54 degrees. The angle of depression from the bottom of the flagpole (Angle A) to that same point on the building is 41 degrees. The distance from the edge of the building with the flagpole to the point on the neighboring building is 1660 feet (x). What is the height of the flagpole to the nearest tenth

Answer 1

The height of flag pole is 841.8 ft.

Explanation:

Let the height of the flag post is h.

x = 1660 ft

According to the triangle, ABC

`tan 41 = (y)/(1660)\\\\y = 1443 ft`

Now According to the triangle ABD

`tan 54 = (h + y )/(1660)\\\\h + 1443 = 2284.8\\\\h = 841.8 ft`