The angle of elevation to a nearby tree from a point on the ground is measured to be 54^{\circ} ∘ . How tall is the tree if the

Question

2 years ago

8

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

1 answer:

Rzqust [24] · Answer 1 · 2023-05-10T20:39:24+03:00

The height of the tree to the nearest hundredth is 122.49 feet

<h3>Application of SOH CAH TOA</h3>

These are used to determine the sides and angle of a right triangle

Given

Angle of elevation= 54 degrees

Base distance = 89 feet

Required

Height of tree

Using the SOH CAH TOA

tan 54 = H/89

H = 89tan54

H = 122.49

Hence the height of the tree to the nearest hundredth is 122.49 feet

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