The tower is 500 meters high. Suppose a building is erected such that the base of the building is on the same plane as the base of the tower, the angle of elevation from the top of the building to the top of the tower is 80.38° and the angle of depression from the top of the building to the foot of the tower is 65.05°. How high would the building have to be? The height of the building is meters. (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.)

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.5: The Law Of Sines
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The tower is 500 meters high. Suppose a building is erected such that the base of the building is on the same plane as the base of the tower,
the angle of elevation from the top of the building to the top of the tower is 80.38° and the angle of depression from the top of the building to
the foot of the tower is 65.05°. How high would the building have to be?
The height of the building is
meters.
(Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.)
Transcribed Image Text:The tower is 500 meters high. Suppose a building is erected such that the base of the building is on the same plane as the base of the tower, the angle of elevation from the top of the building to the top of the tower is 80.38° and the angle of depression from the top of the building to the foot of the tower is 65.05°. How high would the building have to be? The height of the building is meters. (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.)
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