Question

malik casts a 7 - foot shadow. at the same time, a nearby mailbox casts a 4 - foot shadow. if the mailbox is 3 feet tall, how tall is malik?

1. enter your answer.

nathan is standing next to a building. he is 6 feet tall, and the length of his shadow is 9 feet. if the length of the shadow of the building is 322.5 feet, how tall is the building?

Explanation:

Step1: Set up proportion

Let $x$ be Malik's height. The ratio of height to shadow - length is the same for Malik and the mailbox. So we have the proportion $\frac{x}{7}=\frac{3}{4}$.

Step2: Solve for $x$

Cross - multiply: $4x = 3\times7$. Then $4x=21$. Divide both sides by 4: $x=\frac{21}{4}=5.25$.

Step1: Set up proportion

Let $y$ be the height of the building. The ratio of height to shadow - length is the same for Nathan and the building. So we have the proportion $\frac{y}{322.5}=\frac{6}{9}$.

Step2: Solve for $y$

Cross - multiply: $9y = 6\times322.5$. Then $9y = 1935$. Divide both sides by 9: $y=\frac{1935}{9}=215$.

Answer:

$5.25$