Question

A tall building casts a shadow 180 feet long when the sun forms

an angle of 50 with the ground what is the approximate height?
A) 116 ft
B) 151 ft.
C) 215 ft.
D) 280 ft.

Answer 1

The approximate height of the building is 215 ft.

Step-by-step explanation:

To find the approximate height of the building, we can use the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side.

In this case, the opposite side is the height of the building and the adjacent side is the length of the shadow. So we have:

Tan(50) = height / 180

height = Tan(50) * 180

We find that the approximate height of the building is 215 feet. Therefore, the correct answer is C) 215 ft.