Length of the model = 11.6 inch
Scale factor = [tex]\frac{1}{90}[/tex].
Solution:
Given 87 feet.
2 inch = 15 feet
To find the length of the model:
[tex]$\frac{2 \text { inch }}{15 \text { feet }}=\frac{x \text { inch }}{87 \text { feet }}$[/tex]
Do cross multiplication.
[tex]2 \times 87=x \times 15[/tex]
[tex]174=x \times 15[/tex]
[tex]$x=\frac{174}{15}[/tex]
[tex]x=11.6[/tex] inch
Length of the model = 11.6 inch
Let us first change the unit as same.
1 feet = 12 inches
15 feet = 15 × 12 = 180 inches
[tex]$\text{Scale factor} =\frac{2 \text { inch }}{15 \text { feet }}$[/tex]
[tex]$ =\frac{2 \text { inch }}{180 \text { inch }}$[/tex]
[tex]$=\frac{1}{90}[/tex]
Hence scale factor = [tex]\frac{1}{90}[/tex].
