Answer: 18 inches
Step by step explanation:
A scale factor compares scales dimension to actual dimension.
[tex]\frac{scale}{\text{actual}}[/tex]If we have a scale factor of 1:48, written as a proportion 1/48.
Actual length = 72 feet
[tex]\frac{scale}{\text{actual}}=\frac{1}{48}[/tex]Plugin the actual length, to find the length of the model:
[tex]\begin{gathered} \frac{\text{ model length}}{\text{7}2}=\frac{1}{48} \\ \text{ model length}=\frac{72}{48}=\frac{3}{2}_{}=1.5 \end{gathered}[/tex]Model length = 1.5 Feet
Converted to inches (1 foot is equal to 12 inches) is:
[tex]1.5\text{ Ft}\times\frac{12\text{ inches}}{1Ft}=18\text{ inches}[/tex]