A tree casts a shadow 15 feet long. At the same time, a 18-foot flag pole casts a shadow 10 feet long. How tall is the tree?

I’m confused on this question for algebra.

1 Answer
BRIAN M.
Apr 25, 2018

The height of the tree is #27 ft#.

Explanation:

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We can set up a proportion comparing the height of each object to the length of the shadow.

#h/s#

#h/15 = 18/10#

Cross multiply
#10*h = 18*15#

#10h = 270#

Use the multiplicative Inverse

#(cancel10h)/cancel10 = 270/10#

#h = 27#

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