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 the height of the tree be $h$. Then we have the proportion $\frac{h}{24} = \frac{5}{4}$. Cross-multiplying gives $4h = 120$, so $h = 30$. Therefore, the height of the tree is 30 feet.

Use Similar Triangles to Help Solve the Problem h=27h = 27h=27

Use Similar Triangles to Help Solve the Problem $h = 27$