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 32∘. From a point 1000 feet closer to the mountain along the plain, they find that the angle of elevation is 36∘. How high (in feet) is the mountain?
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Tan32 = h/d, h = d*Tan32.
Tan36 = h/(d-1000), h = (d-1000)*Tan36.
d*Tan32 = (d-1000)*Tan36,
d = (d-1000)*1.18,
0.85d = d-1,000,
d = 6667 Ft.
h = d*Tan32 = 6667*0.62 =
Tan36 = h/(d-1000), h = (d-1000)*Tan36.
d*Tan32 = (d-1000)*Tan36,
d = (d-1000)*1.18,
0.85d = d-1,000,
d = 6667 Ft.
h = d*Tan32 = 6667*0.62 =
1 answer