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

Question

2 years ago

12

of the tree as 71.5. How y'all is the tree?

1 answer:

yan [13] · Answer 1 · 2022-08-12T10:56:23+03:00

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)