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svetoff [14.1K]
3 years ago
10

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 28 ∘ . from a point 1000 feet closer to the mountain along the plain, they find that the angle of elevation is 30 ∘ .

Physics
1 answer:
sweet-ann [11.9K]3 years ago
5 0

The height of the mountain is 11650 ft.

At the angle of 28 degree apply the tangent law

tan28=\frac{h}{x} Eq.1

At the angle of 30 degree apply the tangent law

tan30=\frac{h}{(x-1000)} Eq. (2)

On solving eq. (1) and Eq. (2)

The height of the mountain is h=11650 ft.

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