Question

a shadow 30 meters long is cast by a flagpole that is 16 meters tall. what is the length of the shadow cast by a nearby monument that that is 24 meters tall? write your answer as a whole number or a decimal. do not round. meters

Explanation:

Step1: Set up proportion

Let $x$ be the length of the shadow of the monument. Since the ratio of height to shadow - length is the same for both objects, we have the proportion $\frac{16}{30}=\frac{24}{x}$.

Step2: Cross - multiply

$16x = 30\times24$.

Step3: Solve for $x$

$x=\frac{30\times24}{16}$. First, calculate $30\times24 = 720$. Then, $\frac{720}{16}=45$.

Answer:

45