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.)

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.1: The Law Of Sines
Problem 52PS: Gina is standing near a building and notices that the angle of elevation to the top of the building...
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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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