SOLUTION: A boy who is 4.5 feet tall casts a shadow that is 9.25 feet long. The tree next to him casts a shadow that is 18 feet long. How tall is the tree?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A boy who is 4.5 feet tall casts a shadow that is 9.25 feet long. The tree next to him casts a shadow that is 18 feet long. How tall is the tree?      Log On


   

Question 1009643: A boy who is 4.5 feet tall casts a shadow that is 9.25 feet long. The tree next to him casts a shadow that is 18 feet long. How tall is the tree?
Found 2 solutions by stanbon, addingup:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A boy who is 4.5 feet tall casts a shadow that is 9.25 feet long. The tree next to him casts a shadow that is 18 feet long. How tall is the tree?
------
Use a proportion::
-----
height/shadow = height/shadow
-----
h/18 = 4.5/9.25
------
h = 18(4.5/9.25)
------
h = 8.757 ft
------------
Cheers,
Stan H.
-------------

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of the boy's height to the length of his shadow is:
4.5/9.25= 0.486
Since the tree's shadow is 18 feet long, the height of the tree is:
18*0.486 = 8.75 feet