A television tower is on top of a building. From point A on the ground, the angle of elevation of the top of the tower is 51°, and the angle of elevation of the base of the tower is 45°. From point B, which is 150 ft from point A and in the same direction as point A from the building, the angle of elevation of the top of the tower is 40°. What is the height of the tower?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.CR: Chapter Review
Problem 28E
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A television tower is on top of a building. From point A on the ground, the angle of elevation of the top of the tower is 51°, and the angle of elevation of the base of the tower is 45°. From point B, which is 150 ft from point A and in the same direction as point A from the building, the angle of elevation of the top of the tower is 40°. What is the height of the tower?

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