To estimate the height of a mountain, two students find the angle of elevation from a point (at ground level) b = 700 meters from the base of the mountain to the top of the mountain is B = 49°. The students then walk a = 1050 meters straight back and measure the angle of elevation to now be a = 30°. If we assume that the ground is level, use this information to estimate the height of the mountain.

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
700 meters from the base of the mountain to the top of the mountain is
1050 meters straight back and measure the angle of
30°. If we assume that the ground is level, use this information to
ground level) b
B = 49°. The students then walk a =
elevation to now be a =
estimate the height of the mountain.
The height of the mountain is
meters.
Transcribed Image Text:а b. To estimate the height of a mountain, two students find the angle of elevation from a point (at 700 meters from the base of the mountain to the top of the mountain is 1050 meters straight back and measure the angle of 30°. If we assume that the ground is level, use this information to ground level) b B = 49°. The students then walk a = elevation to now be a = estimate the height of the mountain. The height of the mountain is meters.
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