# How tall is the dog if a man 6 feet tall is standing next to a dog and the man’s shadow is 9 feet and the dog’s shadow is 6 feet?

Oct 26, 2014

Let $x$ be the height of the dog.

Since the ratio of the height of the dog to that of the man is the same as the length of the dog's shadow to that of the man's shadow, we have

$\frac{x}{6} = \frac{6}{9}$

by multiplying by $6$,

$x = \frac{36}{9} = 4$.

Hence, the dog is $4$ feet tall.

I hope that this was helpful.