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A tree casts a shadow that is 125 feet in length. The angle of elevation with the sun is 32°. What is the height of the tree?

A tree casts a shadow that is 125 feet in length. The angle of elevation with the-example-1
User Mike Chess
by
8.5k points

1 Answer

4 votes

Answer:

Height of the tree is 78.11 feet.

Explanation:

By applying the tangent rule in the right triangle formed,

Since, tanθ =
\frac{\text{Opposite side}}{\text{Adjacent side}}

tan(32)° =
(h)/(125)

h = 125(tan32°)

h = 125(0.62487)

h = 78.109

≈ 78.11 ft

Height of the tree will be 78.11 feet.

User Haymo Kutschbach
by
8.3k points
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