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

`\\ (65)/(13) = (x)/(121 * 12) \: or \\ (65)/(13) = (x)/(1452) \: so \\ (65)(1452) = 13x \: so \\ x = ((65)(1452))/(13) = 7260 \: inches \\ = (7260)/(12) = 65feet \\ as \: the \: height \: of \: the \: space \: needle`