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Dmitrij [34]
2 years ago
12

A bird watcher is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to a bird on top

of the tree as 71.5. How y'all is the tree?
Mathematics
1 answer:
yan [13]2 years ago
5 0

Answer:

149.43 feet tall

Step-by-step explanation:

From the base of a large tree, a bird watcher is standing 50 feet away.

There is 71.5° of elevation from the bird watcher to a bird on the top of the tree.

If we ignore the height of the observer and consider the height of the tree as h feet, then using trigonometry we can write that

tan 71.5° = \frac{h}{Base} = \frac{h}{50}

Hence, h = 50 tan 71.5° =149.43 feet.

Therefore, the tree is 149.43 feet tall. (Answer)

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