Question

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?

Answer 1

149.43 feet tall

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° =
`(h)/(Base)` =
`(h)/(50)`

Hence, h = 50 tan 71.5° =149.43 feet.

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