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.)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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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