Answer
$86\;mi$.
Work Step by Step
The distance on the map measures $a=2\frac{11}{16}\;in$.
Let the actual distance is $=d$.
Equate the scare drawing ratio with $a:d$.
$\Rightarrow \frac{1}{32}=\frac{2\frac{11}{16}}{d}$
Cross multiply.
$\Rightarrow 1d=32(2\frac{11}{16})$
Simplify.
$\Rightarrow d=32(\frac{43}{16})$
$\Rightarrow d=86\;mi$.
