swishman7450 swishman7450
  • 18-02-2021
  • Mathematics
contestada

A 5 foot tall pole casts a 3 1/3 foot shadow. At the same time an oak tree casts a 20 foot shadow. How tall is the tree?

Respuesta :

rococo908
rococo908 rococo908
  • 18-02-2021

Answer:

30 feet tall

Step-by-step explanation:

Set up a proportion where x is the height of the tree

[tex]\frac{5}{3\frac{1}{3} }[/tex] = [tex]\frac{x}{20}[/tex]

Cross multiply and solve for x:

100 = 3[tex]\frac{1}{3}[/tex]x

30 = x

So, the tree is 30 feet tall

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