contestada

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 ∘ .

Respuesta :

The height of the mountain is 11650 ft.

At the angle of 28 degree apply the tangent law

tan28=[tex] \frac{h}{x} [/tex] Eq.1

At the angle of 30 degree apply the tangent law

tan30=[tex] \frac{h}{(x-1000)} [/tex] Eq. (2)

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

The height of the mountain is h=11650 ft.

Ver imagen Ursus