Answer:
[tex]\large\boxed{\large\boxed{(5/96)ft\approx 0.052ft}}[/tex]
Explanation:
1. Use the scale ratio to set a proportion with the unknown lenght.
[tex]24inches/10ft=(1/8)inches/x[/tex]
2. To solve for x, use cross multiplication:
[tex]24inches\times x=10ft\times(1/8)inches[/tex]
3. Divide both sides by 24inches:
[tex]x=10ft\times(1/8)inches\times (1/24inches)[/tex]
4. Simplify:
[tex]x=10ft/192=(5/96)ft\approx 0.052ft[/tex]