# To estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 32°. One thousand feet closer to the mountain along the plain, it is found that the angle of elevation is 35°. Estimate the height of the mountain. (Round your answer to the nearest foot.)

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To estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 32°. One thousand feet closer to the mountain along the plain, it is found that the angle of elevation is 35°. Estimate the height of the mountain. (Round your answer to the nearest foot.)

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Step 1

First we draw a rough sketch from the given information.

Let height of the mountain is h.

Step 2

In triangle ABC,

AB/BC =tan 35

h/BC=tan35

BC=h/tan35

Step 3

In triangle ABD

AB/BD= tan 32

h/BD=t...

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