7
QuizMultiple Choice

Inverse Functions

Question 7 • 25-26 CRX Math Models with Applications 7052A

The Sears Tower in Chicago is 1454 feet high. Sketch and find the angle of elevation from a point 750 feet from the base to the top of the tower. Relate your answer to the nearest tenth.

Answer
A
62.7º
B
27.3º
C
31.1º
D
58.9º

Explanation

Model the situation as a right triangle: the tower’s height, 1454 feet, is opposite the angle of elevation, and the 750-foot distance from its base is adjacent. Use tangent: tan(θ) = 1454/750, so θ = tan⁻¹(1454/750) ≈ 62.7°. The angle of elevation is 62.7°, choice a.

AI-written and checked against the verified answer.

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