At a certain time of day, the angle of elevation of the sun is 40°. To the nearest foot,find the height of a tree whose shadow i

Question

quester [9]

3 years ago

10

At a certain time of day, the angle of elevation of the sun is 40°. To the nearest foot,find the height of a tree whose shadow i

s 35 feet long.

Mathematics

1 answer:

konstantin123 [22] · Answer 1 · 2021-12-21T14:39:51+03:00

We need to find a tree such that the angle of elevation from the end of the shadow to top of the tree is 40 degrees.

The length of the shadow is the adjacent side and is 35.
The height of the tree is the opposite side. Let it be x.

Tan ratio = opposite/adjacent

tan(40) = x/35
x = 35*tan(40) = 29.37

Answer: Height of the tree is 29 feet