Asked by Kayla

A pine tree stands beside a road that has a 7 degree gradient. When the angle of elevation to the sun is 59 degrees, the tree casts a shadow of 31 ft down slope along the road. What is the height of the tree?

Answers

Answered by Steve
Draw a diagram.

If the tip of the shadow is x feet horizontally away from the tree of height x, we have

x/31 = cos 7°
(h + 31*sin7°)/x = tan 59°

I get h = 47.4 ft
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