To estimate the height of a building, a student stood a certain distance from a building and determined that the angle of elevation to the top of the building was 32°. The student then moved 200 feet closer to the building along a level street and determined the angle of elevation was 42°. What is the height of the building? 408.4 feet 628.7 feet 116.5 feet 315.3 feet

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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To estimate the height of a building, a student stood a certain distance from a building and determined that the angle of elevation to the top of the building was 32°. The student then moved 200 feet closer to the building along a level street and determined the angle of elevation was 42°. What is the height of the building?

408.4 feet

628.7 feet

116.5 feet

315.3 feet

 

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