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 (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.8: Applications And Models
Problem 4ECP: From the time a small airplane is 100 feet high and 1600 ground feet from its landing runway, the...
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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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