16. In a national park, the distance between the base of two cliffs is 312 feet. The angle of elevation from the base of the shorter cliff to the top of the taller cliff is 35°. The angle of elevation from the base of the taller cliff to the top of the shorter cliff is 27°. The tops of the two cliffs are joined by a bridge of length x, as modeled below, bridge 135° 277 312 ft What is the length of the bridge, x, to the nearest foot ? Show your work and explain how you determined your answer.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.1: Congruent Triangles
Problem 7E: In ABC, the midpoints of the sides are joined. a what does intuition suggest regarding the...
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16. In a national park, the distance between the base of two cliffs is 312 feet. The angle of
elevation from the base of the shorter cliff to the top of the taller cliff is 35°. The angle
of elevation from the base of the taller cliff to the top of the shorter cliff is 27°. The tops
of the two cliffs are joined by a bridge of length x, as modeled below,
bridge
135°
277
312 ft
What is the length of the bridge, x, to the nearest foot? Show your work and explain
how you determined your answer.
Enter your answer, your work, and your explanation in the box provided.
Transcribed Image Text:16. In a national park, the distance between the base of two cliffs is 312 feet. The angle of elevation from the base of the shorter cliff to the top of the taller cliff is 35°. The angle of elevation from the base of the taller cliff to the top of the shorter cliff is 27°. The tops of the two cliffs are joined by a bridge of length x, as modeled below, bridge 135° 277 312 ft What is the length of the bridge, x, to the nearest foot? Show your work and explain how you determined your answer. Enter your answer, your work, and your explanation in the box provided.
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