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 h be the height of the tree. Then we have the following similar triangles:
[tree] / [tree's shadow] = [man] / [man's shadow]
h / 24 = 5 / 4
Solving for h, we get h = 30.
Therefore, the height of the tree is 30 feet.

Use Similar Triangles to Help Solve the Problem