Question

A woman who is 5 feet 5 inches tall is standing near the Space Needle in Seattle, Washington. She casts a 13-inch shadow at the same time that the Space Needle casts a 121-foot shadow. How tall is the Space Needle?

Answer 1

Converting to inches we have
$\\ \frac{65}{13} = \frac{x}{121 \times 12} \: or \\ \frac{65}{13} = \frac{x}{1452} \: so \\ (65)(1452) = 13x \: so \\ x = \frac{(65)(1452)}{13} = 7260 \: inches \\ = \frac{7260}{12} = 65feet \\ as \: the \: height \: of \: the \: space \: needle$