Question

Solve the problem.A person is looking from a car to the top of a building. The angle of elevation to the top of the building from the car is 32°. The building is 200 feet away. How tall is the building? Round to the nearest foot.

Answer 1

Let the height of the bulding be h

The figure below illustrate the problem

`\begin{gathered} \text{From the trigonometric ratios} \\ \tan \text{ 32 = }\frac{\text{oposite}}{adjacent} \\ \tan 32=(h)/(200) \\ h=200\text{ x tan 32} \\ h=200(0.6249) \\ h=124.97m \\ h=125(\text{nearest foot)} \end{gathered}`