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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.

Solve the problemA 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 2 class=

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Solution

Let the height of the bulding be h

The figure below illustrate the problem

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

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