Question

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

Explanation:

Step1: Set up proportion

Let \(x\) be the length of the column's shadow. Since the ratio of height to shadow length is the same for both objects, we have \(\frac{16}{30}=\frac{24}{x}\).

Step2: Cross - multiply

\(16x = 30\times24\).

Step3: Solve for \(x\)

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

Answer:

45