A tree casts a shadow 24 feet long. At the same time, a vertical rod 28 feet high cast a shadow 12 feet long. How tall is the tree

Question

Need help with my algebra problem

Answer 1

ratio of height of object   vs. shadow length

 

 

28      ?

--- =  --- 

12      24

 

Solve the proportion by cross multiplication or equal fractions.

The three is 56 feet tall.

 

You could even argue that the object is 2 and 1/3 times as tall as the shadow is long.

28/12 = 14/6 = 7/3 = 2 and 1/3

 

Checking our answers:

  56/24 = 28/12 = 14/6 = 7/3 = 2 and 1/3