If a person stands 40 ft from a tree and the angle of elevation made from their eyes (5 ft above the ground) to the top of the t

Question

2 years ago

7

ree is 47°, how tall is the tree? Round your answer to the nearest foot.

1 answer:

goldenfox [79] · Answer 1 · 2023-11-10T16:54:54+03:00

Using the given information, the height of the tree is 48 ft

<h3>Trigonometry </h3>

From the question, we are to determine the height of the tree

In the given diagram, the height of the tree is (x + 5) feet

First, we will determine the value of x

tan 47° = x / 40

x = 40 × tan47°

x = 42.89 ft

∴ The height of the tree = (42.89 + 5) ft

Height of the tree = 47.89 ft

Height of the tree ≈ 48 ft

Hence, the height of the tree is 48 ft.

Learn more on Trigonometry here: brainly.com/question/15821537

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