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?

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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)   (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?
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Use a proportion::
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height/shadow = height/shadow
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h/18 = 4.5/9.25
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h = 18(4.5/9.25)
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h = 8.757 ft
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Cheers,
Stan H.
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Answer by addingup(3677)   (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

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