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 25°. From a point 2000 feet closer to the mountain along the plain, they find that the angle of elevation is 30°. How high (in feet) is the mountain?

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 25°. From a point
2000 feet closer to the mountain along the plain, they find that the angle of elevation is 30°.
How high (in feet) is the mountain?
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 25°. From a point 2000 feet closer to the mountain along the plain, they find that the angle of elevation is 30°. How high (in feet) is the mountain?
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