A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is 54°. He then walks 57 feet further away and observes that the angle of elevation to the top of the antenna is 39°. Find the height of the antenna to the nearest foot.

A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is 54°. He then walks 57 feet further away and observes that the angle of elevation to the top of the antenna is 39°. Find the height of the antenna to the nearest foot.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter6: Equations

Section6.1: Solving Trigonometric Equations

Problem 94PS

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A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is 54°.
He then walks 57 feet further away and observes that the angle of elevation to the top of the antenna is 39°. Find
the height of the antenna to the nearest foot.

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