Question

The angle of elevation to a nearby tree from a point on the ground is measured to be

53. How tall is the tree if the point on the ground is 89 feet from the tree? Round
your answer to the nearest hundredth of a foot if necessary.

Answer 1

118.11 feet

Explanation:

You want the height of a tree that is 89 feet away, given the angle of elevation to the top is 53°.

Tangent

The tangent relation is ...

Tan = Opposite/Adjacent

tan(53°) = height/(89 ft)

height = (89 ft)·tan(53°) ≈ 118.11 ft

The height of the tree is about 118.11 feet.

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