Use similar triangles to help solve the problem. A tree casts a shadow of 24 feet at the same time as a 5-foot tall man casts a shadow of 4 feet. Find the height of the tree.
A) h = 27 ft
B) h = 42 ft
C) h = 30 ft
D) h = 35 ft
E) h = 22 ft

Question

Use similar triangles to help solve the problem. A tree casts a shadow of 24 feet at the same time as a 5-foot tall man casts a shadow of 4 feet. Find the height of the tree. 
A) h = 27 ft 
B) h = 42 ft 
C) h = 30 ft 
D) h = 35 ft 
E) h = 22 ft

Quizplus · Accepted Answer

Let x be the height of the tree.
We have the proportion: 
5/4 = x/24
Simplifying, we get:
x = 30
Therefore, the height of the tree is 30 ft.

Use Similar Triangles to Help Solve the Problem