Question

In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After you drive x = 11 miles closer to the mountain, the angle of elevation is 9°. Approximate the height of the mountain. (Round your answer to one decimal place.)

Answer 1

Below

Explanation:

See diagram

.158384 = height/x <====== x = height/.15838

.061162 = height /(11+x) <====sub in x from above into here

.061162 = height /(11+height/.158384) solve for height

.672789 + .386163 height = height

height = 1.1 mi high