Precalculus

From a point on ground level, you measure the angle of elevation to the top of a moutain to be 38 degrees. Then you walk 200 m fartheraway from the mountain and find that the angle of elevation is now 20 degrees. Find the height of the mountain. Round the answer to the nearest meter.

Let h be the height of the mountain, x be the distance from the base to the first observation point.

tan 38= h/x
or x= h ctn 38

Second point:

Tan 20= h/(200+x)

h= tan38 * (200 + h ctn30)

h-h tan38 ctn20 = tan38 *200
solve for h.

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