A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is A = 66°. He then walks s = 120 feet further away and observes that the angle of elevation to the top of the antenna is B = 47° (see the figure below). Find the height of the antenna to the nearest foot. (Hint: Find x first.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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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

A = 66°.

He then walks

s = 120

feet further away and observes that the angle of elevation to the top of the antenna is

B = 47°

(see the figure below). Find the height of the antenna to the nearest foot. (Hint: Find x first.)

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