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A utility pole is 40 ft tall. The pole creates a 50 ft shadow. What is the angle of elevation of the sun? Round your answer to the nearest degree. Draw the triangle. Show your work.

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Answer:

The angle of elevation of the sun is 38.65°.

Explanation:

Given a utility pole has height=40 ft and it creates a shadow of 5=ft.

Thus, in order to find the angle of elevation of the sun, let the angle of elevation of the sun be α, then


tan{\alpha}=(AC)/(BC)


tan{\alpha}=(40)/(50)


tan{\alpha}=(4)/(5)


tan{\alpha}=0.8


{\alpha}=tan^(-1)(0.8)


{\alpha}=38.65^{{\circ}}

Thus, the angle of elevation of the sun is 38.65°.

A utility pole is 40 ft tall. The pole creates a 50 ft shadow. What is the angle of-example-1
User Tirath
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