contestada

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?

Respuesta :

Is this a multiple choice?

Step-by-step explanation:

joseaaronlara

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

                   [tex]\frac{height}{shadow} = \frac{x}{56}[/tex]

Esteban

                   [tex]\frac{height}{shadow} = \frac{4.5}{21}[/tex]

2.- Equal both proportions

                 [tex]\frac{x}{56} = \frac{4.5}{21}[/tex]

3.- Solve for x

                 x = [tex]56\frac{4.5}{21}[/tex]

4.- Simplification and result

                 x = 12                      

The tree has a height of 12 ft          

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