A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is b = 63°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is a = 42°. Find the height of the antenna to the nearest foot. (Hint. Find x first.) 100 ft
A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is b = 63°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is a = 42°. Find the height of the antenna to the nearest foot. (Hint. Find x first.) 100 ft
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 \( b = 63^\circ \). He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is \( a = 42^\circ \). Find the height of the antenna to the nearest foot. (*Hint: Find \( x \) first.*)
Diagram Explanation:
The diagram shows two positions of a man observing the radio station antenna. From the first position, the angle of elevation to the top of the antenna is \( 63^\circ \). After walking 100 feet further, the angle of elevation from the second position is \( 42^\circ \). The distance between the two positions along the ground is labeled as 100 ft. The height of the antenna is labeled as \( h \).
\[ h = \_\_\_\_\_\_ \text{ ft} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46cb5339-3b10-44e8-b370-9e828542de7a%2Fbb2c02b4-0684-41f0-87e6-8e346af140c4%2Fduccw2_processed.png&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 \( b = 63^\circ \). He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is \( a = 42^\circ \). Find the height of the antenna to the nearest foot. (*Hint: Find \( x \) first.*)
Diagram Explanation:
The diagram shows two positions of a man observing the radio station antenna. From the first position, the angle of elevation to the top of the antenna is \( 63^\circ \). After walking 100 feet further, the angle of elevation from the second position is \( 42^\circ \). The distance between the two positions along the ground is labeled as 100 ft. The height of the antenna is labeled as \( h \).
\[ h = \_\_\_\_\_\_ \text{ ft} \]
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