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.

Respuesta :

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

[tex]6 : 108 = h : 90[/tex]

Express as fraction

[tex]\frac{6}{108} = \frac{h}{90}[/tex]

Multiply through by 90

[tex]5 = h[/tex]

Rewrite as:

[tex]h = 5[/tex]

Hence, her friend's height is 5 feet

Read more about equivalent ratios at:

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