4
QuizMultiple Choice

Inverse Functions

Question 4 • Applications and Modeling

Find the angle of elevation to the top of a 150-ft flagpole from a point 50 feet from the base of the pole. Round your answer to the nearest tenth.

Answer
A
71.6º
B
18.4º
C
19.5º
D
70.5º

Explanation

The flagpole and the ground form a right triangle, with height 150 ft and horizontal distance 50 ft. For the angle of elevation θ, tan(θ) = 150 ÷ 50 = 3, so θ = arctan(3) ≈ 71.6°. The correct choice is 71.6º.

AI-written and checked against the verified answer.

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