Question

HELP QUICK

Standing side by side, a woman casts a 41.4-inch shadow and her 40-inch-tall son casts a 24-inch shadow. What is the height of the woman to the nearest inch?

Answer 1

25 inches

Explanation:

Given

Son:

`Height = 40\ inch`

`Shadow = 24\ inch`

Woman:

`Height = 41.4\ inch`

Required

Determine the height of the woman's shadow

From the question, the height is directly proportional to the height of the shadow:

So, we have:

`40\ inch = 24\ inch` --- For the son

and

`41.4\ inch = x`

Where x represents the shadow of the woman

Cross Multiply:

`x * 40 = 24 * 41.4`

`x * 40 = 993.6`

`40x = 993.6`

Make x the subject

`x = 993.6/40`

`x = 24.84`

`x = 25` ---- approximated

Hence, the woman's shadow is 25 inches tall