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?

Step-by-step explanation:

Answer 2

Answer:

The answer to your question is 12ft

Step-by-step 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

                   $\frac{height}{shadow} = \frac{x}{56}$

Esteban

                   $\frac{height}{shadow} = \frac{4.5}{21}$

2.- Equal both proportions

                 $\frac{x}{56} = \frac{4.5}{21}$

3.- Solve for x

                 x = $56\frac{4.5}{21}$

4.- Simplification and result

                 x = 12                      

The tree has a height of 12 ft