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Two vertical towers 120 m apart are on the same horizontal plane. An observer standing successively at the bases of the towers observes that the angle of elevation of the taller is twice that of the smaller. At the midway point, he observes that the angles of elevation of the tops of the towers are complementary. Find the heights of the tower.

Two vertical towers 120 m apart are on the same horizontal plane. An observer standing successively at the bases of the towers observes that the angle of elevation of the taller is twice that of the smaller. At the midway point, he observes that the angles of elevation of the tops of the towers are complementary. Find the heights of the tower.

Elementary Geometry For College Students, 7e
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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Two vertical towers 120 m apart are on the same horizontal plane. An observer standing successively at the bases of the towers observes that the angle of elevation of the taller is twice that of the smaller. At the midway point, he observes that the angles of elevation of the tops of the towers are complementary. Find the heights of the tower. a. 40 m and 90 m b. 50 m and 80 m c. 45 m and 85 m d. 55 m and 75 m ●
Transcribed Image Text:Two vertical towers 120 m apart are on the same horizontal plane. An observer standing successively at the bases of the towers observes that the angle of elevation of the taller is twice that of the smaller. At the midway point, he observes that the angles of elevation of the tops of the towers are complementary. Find the heights of the tower. a. 40 m and 90 m b. 50 m and 80 m c. 45 m and 85 m d. 55 m and 75 m ●
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