Two towers 120 meters 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 height of the smaller tower. 90 m 80 m 30 m 40 m

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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Two towers 120 meters 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 height of the smaller tower.

90 m
80 m
30 m
40 m

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