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.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.1: The Law Of Sines
Problem 52PS: Gina is standing near a building and notices that the angle of elevation to the top of the building...
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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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