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

Nataliya [291]

2 years ago

7

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:

MrRa [10] · Answer 1 · 2022-02-01T07:43:47+03:00

Answer: approximately 29 feet

Explanation: You need to find a tree so 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 an adjacent side and is 35.
The height of the tree is the opposite side. You could use X.

Tan ratio = opposite/adjacent

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