Question

If 6-foot-tall Madeleine casts an 108-inch shadow, how tall is her friend if, at the same time, his shadow is 1.5 shorter than hers? Explain.

Answer 1

Given:

There are given that the 6-foot-tall Madeleine casts a 108-inch shadow.

Step-by-step explanation:

Madelene's height is 6 ft.

And,

The height of her shadow is represented as 108 inches.

According to the question:

Her friend shadow is 1.5 feet, i,e 18 inches, shorter.

So,

The friend's shadow is:

`(108-18)in=90in`

So,

We have following equivalent ratio:

`(6)/(108)=(h)/(90)`

Then,

`\begin{gathered} (6)/(108)=(h)/(90) \\ 540=108* h \\ h=(540)/(108) \\ h=5 \end{gathered}`

Final answer:

Hence, her friend's height is 5 feet.