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.

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:

$\frac{6}{108}=\frac{h}{90}$

Then,

$\begin{gathered} \frac{6}{108}=\frac{h}{90} \\ 540=108\times h \\ h=\frac{540}{108} \\ h=5 \end{gathered}$

Final answer:

Hence, her friend's height is 5 feet.