Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

malik casts a 7 - foot shadow. at the same time, a nearby mailbox casts…

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?
ft
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 Malik's height be $x$. Since the ratio of height to shadow - length is the same for both Malik and the mailbox, 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: $x=\frac{21}{4}=5.25$.

Answer:

$5.25$