To estimate the height of a mountain, two students find the angle of elevation from a point (at ground level) b = 600 meters from the base of the mountain to the top of the mountain is ß = 51°. The students then walk a = 1450 meters straight back and measure the angle of elevation to now be a = 40°. If we assume that the ground is level, use this information to estimate the height of the mountain to three decimal places. The height of the mountain is meters.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.2: Trigonometry Of Right Triangles
Problem 65E
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a
b
To estimate the height of a mountain, two students find the angle of elevation from a point (at ground
level) b = 600 meters from the base of the mountain to the top of the mountain is 3 = 51°. The students
then walk a = 1450 meters straight back and measure the angle of elevation to now be a = 40°. If we
assume that the ground is level, use this information to estimate the height of the mountain to three
decimal places.
=
The height of the mountain is
meters.
Transcribed Image Text:a b To estimate the height of a mountain, two students find the angle of elevation from a point (at ground level) b = 600 meters from the base of the mountain to the top of the mountain is 3 = 51°. The students then walk a = 1450 meters straight back and measure the angle of elevation to now be a = 40°. If we assume that the ground is level, use this information to estimate the height of the mountain to three decimal places. = The height of the mountain is meters.
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