A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 40°. What is the height of the top section of the tower?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 62RE
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A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation
of the top of the first section is 25°, and the angle of elevation of the top of the second section is 40°. What is the height
of the top section of the tower?
X
X=
87 feet
ROUND TO THE NEAREST TENTH.
40⁰
25°
feet
Transcribed Image Text:A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 40°. What is the height of the top section of the tower? X X= 87 feet ROUND TO THE NEAREST TENTH. 40⁰ 25° feet
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