Question

choose the best answer. if necessary, use the paper you were given. question elia is 6 feet tall and casts a 9 - foot shadow. if a flagpole, next to him, casts a shadow that is 36 feet long, how tall is the flagpole? 12 feet 24 feet 33 feet 54 feet

Explanation:

Step1: Set up proportion

Since the ratio of height to shadow - length is the same for both Elia and the flag - pole, we can set up the proportion $\frac{\text{Elia's height}}{\text{Elia's shadow length}}=\frac{\text{Flag - pole's height}}{\text{Flag - pole's shadow length}}$. Let the height of the flag - pole be $x$. So, $\frac{6}{9}=\frac{x}{36}$.

Step2: Cross - multiply

Cross - multiplying gives us $9x = 6\times36$.

Step3: Solve for $x$

First, calculate $6\times36 = 216$. Then, $x=\frac{216}{9}=24$.

Answer:

B. 24 feet