A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 24°. From a point 2500 feet closer to the mountain along the plain, they find that the angle of elevation is 31°, How high (in feet) is the mountain? The mountain is feet high.

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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A survey team is trying to estimate the height of a mountain above a level plain. From one point on
the plain, they observe that the angle of elevation to the top of the mountain is 24°. From a point
2500 feet closer to the mountain along the plain, they find that the angle of elevation is 31°.
How high (in feet) is the mountain?
The mountain is
feet high.
Transcribed Image Text:A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 24°. From a point 2500 feet closer to the mountain along the plain, they find that the angle of elevation is 31°. How high (in feet) is the mountain? The mountain is feet high.
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