Question

a building casts a shadow that is 24 feet long. at the same time and nearby, a man that is 6 feet tall casts a 2 - foot shadow. not drawn by scale how tall is the building? a. 28 feet b. 36 feet c. 48 feet d. 72 feet e. 96 feet

Explanation:

Step1: Set up proportion

Since the ratios of height to shadow - length are equal for the building and the man, we can set up the proportion $\frac{h}{24}=\frac{6}{2}$, where $h$ is the height of the building.

Step2: Cross - multiply

Cross - multiplying gives us $2h = 6\times24$.

Step3: Solve for $h$

First, calculate $6\times24 = 144$. Then, $h=\frac{144}{2}=72$.

Answer:

D. 72 feet