Question

Esteban is using similar triangles to calculate the height of a tree. The tree casts a shadow that is 56 feet long, while Esteban's shadow is 21 feet long. If Esteban is 4.5 feet tall, how tall is the tree in feet?

Answer 1

Is this a multiple choice?

Explanation:

Answer 2

The answer to your question is 12ft

Explanation:

Data

Tree height = ?

Tree shadow = 56 ft

Esteban height = 4.5 ft

Esteban shadow = 21 ft

Process

1.- Use proportions to find the answer

Tree

`(height)/(shadow) = (x)/(56)`

Esteban

`(height)/(shadow) = (4.5)/(21)`

2.- Equal both proportions

`(x)/(56) = (4.5)/(21)`

3.- Solve for x

x =
`56(4.5)/(21)`

4.- Simplification and result

x = 12

The tree has a height of 12 ft