Middle School

A 60-foot monument casts a 25-foot shadow. How long is the shadow of a 4.5-foot-tall person?

Answer :

Answer:

1.875 feet

Step-by-step explanation:

The length of the shadow is proportional to the height.

25 / 60 = x / 4.5

Cross multiply and solve:

60x = (25)(4.5)

60x = 112.5

x = 1.875

The shadow is 1.875 feet long.

Final answer:

The shadow of a 4.5-foot-tall person would be 1.875 feet long.

Explanation:

The shadow of a 4.5-foot-tall person would be 1.875 feet long.

First, set up a proportion using the given information: Height of monument / Length of its shadow = Height of person / Length of their shadow

Plug in the values: 60 / 25 = 4.5 / x

Solve for x to find the length of the person's shadow: x = (4.5 * 25) / 60 = 1.875 feet