Question

A tree casts a shadow that is about 10 ft long. Javier, who is about 5 ft tall, is standing near the tree. Javier’s shadow is about 4 ft long. What is the estimated height, t, of the tree?

A) 8 ft
B) 12.5 ft
C) 15.5 ft
D) 18.5 ft

Answer 1

Option B) 12.5 ft

Explanation:

we know that

A tree casts a shadow that is about 10 ft long

Javier is 5 ft tall and Javier’s shadow is about 4 ft long

using proportion

Find out the estimate height of the tree

Let

x ----> the estimate height of the tree

`(5)/(4)=(x)/(10)\\\\x=5*10/4\\\\x= 12.5\ ft`

therefore

The estimate height of the tree is 12.5 ft