Posted by **fred** on Friday, March 13, 2009 at 6:07pm.

a man is 6ft tall and he casts a shadow of 5 ft, if a tree casts a 30ft shadow, how tall is the tree?

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**Ms. Sue**, Friday, March 13, 2009 at 6:09pm
Cross multiply this ratio and solve for x.

5/6 = 30/x

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**fred**, Friday, March 13, 2009 at 6:13pm
Ms Sue I'm still stuck

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**bob**, Friday, March 13, 2009 at 6:20pm
5/6=30/x

You can see that 5 was multiplied by 6 to get 30. In order to keep the fraction the same, you'll also have to multiply the 6 in the denominator by 6 to get 36 as your value for x, which in this case represents the height of the tree in feet.

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**Ms. Sue**, Friday, March 13, 2009 at 6:27pm
When you cross multiply, you multiply the two farthest terms for the numerator and the two closest terms for the denominator.

5/6 = 30/x

5x = 6 * 30

5x = 180

x = ?

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**fred**, Friday, March 13, 2009 at 6:31pm
X=36

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**Ms. Sue**, Friday, March 13, 2009 at 6:38pm
Right. The tree is 36 feet tall.

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