SOLUTION: I am standing at the trailhead of a mountain trail on level ground. I know from my map that the horizontal distance from this spot to the top of the mountain is 3 miles. I find tha

Question 299279: I am standing at the trailhead of a mountain trail on level ground. I know from my map that the horizontal distance from this spot to the top of the mountain is 3 miles. I find that the angle of elevation to the top of the mountain from this point is 4 degrees. What is the height of the mountain, in feet?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You can use the Tangent function to find the height of the mountain.
Let h = height of mountain and the horozontal distance to the mountain of 3 miles is the same as the length of the base of the right triangle.
The tangent of the angle of elevation is expressed by
, so...
Solve for h.

Miles.
Convert to feet by multiplying by 5,280 ft/mi.
feet.
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