47. 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°. a. How tall is the shorter building? Round to the nearest foot. b. What is the distance between the buildings? Round to the nearest foot.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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47. 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°.
a. How tall is the shorter building? Round to the nearest
foot.
b. What is the distance between the buildings? Round to
the nearest foot.
Transcribed Image Text:47. 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°. a. How tall is the shorter building? Round to the nearest foot. b. What is the distance between the buildings? Round to the nearest foot.
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