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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06920522-9a8a-48ad-ba37-b1d8810823f6%2F00620180-c5a5-49f8-b416-585b458d5bbb%2Fu7hbmvf.jpeg&w=3840&q=75)
Transcribed Image Text: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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