Question

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?

Answer 1

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.