Question

A girl that is 4 feet tall is standing next to the empire State building in New York city. The girls shadow is 3.2 feet long. If the empire State building is 1454 feet tall how long would its shadow be?

Answer 1

Answer: 1163.2 feet

Step-by-step explanation:

Set up the proportion then cross multiply:

$\frac{height(girl)}{height(building)} = \frac{shadow (girl)}{shadow(building)}$

$\frac{4}{1454} = \frac{shadow (3.2)}{x}$

4(x) = 1454(3.2)

   x = $\frac{1454(3.2)}{4}$

   x = 1163.2