Two residential buildings are to be constructed with a grassy recreational area between them. The taller building is 700 ft high. From the roof of the shorter building, the angle of elevation to the top of the taller building is 78° and the angle of depression to the base of the taller building is 62°. How tall is the shorter building? Round to the nearest foot. What is the distance between the buildings? Round to the nearest foot.

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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  1. Two residential buildings are to be constructed with a grassy recreational area between them. The taller building is 700 ft high. From the roof of the shorter building, the angle of elevation to the top of the taller building is 78° and the angle of depression to the base of the taller building is 62°.

    1. How tall is the shorter building? Round to the nearest foot.

    2. What is the distance between the buildings? Round to the nearest foot.

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