Question

q: a pole 24 feet high has a shadow 8 feet long. a nearby pole is 72 feet high. how long is its shadow?
a. 16
b. 24
c. 32
d. 66

Explanation:

Step1: Set up proportion

Let the length of the shadow of the 72 - foot high pole be $x$ feet. Since the ratio of the height of the pole to the length of its shadow is the same for both poles, we have the proportion $\frac{24}{8}=\frac{72}{x}$.

Step2: Cross - multiply

$24x = 72\times8$.

Step3: Solve for $x$

$24x=576$, then $x=\frac{576}{24}=24$.

Answer:

B. 24