The length of a shadow of a tree is 120 feet when the angle of elevation of the sun is 33º.Approximate the height of the tree.Approximate the answer to one decimal place.
A)77.9 ft
B)81.9 ft
C)79.9 ft
D)78.9 ft
E)80.9 ft

Question

The length of a shadow of a tree is 120 feet when the angle of elevation of the sun is 33º.Approximate the height of the tree.Approximate the answer to one decimal place. ​
A)77.9 ft
B)81.9 ft
C)79.9 ft
D)78.9 ft
E)80.9 ft

Quizplus · Accepted Answer

The height of the tree is approximately 77.9 ft. This can be found using the tangent function: tan(33°) = height/120, which gives height = 120 * tan(33°) ≈ 77.9 ft.

The Length of a Shadow of a Tree Is 120