Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
steve is trying to determine the height of a flagpole using the flagpoles shadow. early in the morning, the shadow of the flagpole is 30 feet long. steve is 6 feet tall, and his shadow is 9 feet long at the same time.
the height of the flagpole is $\boldsymbol{square}$ feet.

Explanation:

Step1: Set up proportion

Let $h$ = flagpole height.
$\frac{\text{Steve's height}}{\text{Steve's shadow}} = \frac{\text{Flagpole height}}{\text{Flagpole shadow}}$
$\frac{6}{9} = \frac{h}{30}$

Step2: Simplify left fraction

Reduce $\frac{6}{9}$ to $\frac{2}{3}$.
$\frac{2}{3} = \frac{h}{30}$

Step3: Solve for $h$

Cross-multiply: $h = \frac{2 \times 30}{3}$
$h = \frac{60}{3} = 20$

Answer:

20