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 feet shorter than hers? Show work please.

Verified Answer :

Her friend's height is 5 feet

Madeleine's height is given as:

Height = 6 ft

The height of her shadow is represented as:

Shadow = 108 inches

Her friend's shadow is 1.5 feet (i.e. 18 inches) shorter.

So, we have:

Friend's shadow =108 inches - 18 inches

Friend's shadow = 90 inches

So, we have he following equivalent ratio

\(6 : 108 = h : 90\)

Express as fraction

\(\frac{6}{108} = \frac{h}{90}\)

Multiply through by 90

\(5 = h\)

Rewrite as:

\(h = 5\)

Hence, her friend's height is 5 feet

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