Answer
$d=\sqrt{101}\text{ units}$
Work Step by Step
Using the Distance Formula, then the distance between
$
(8,5)\text{ and } (-2,4)
$ is
\begin{array}{l}
d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}
\\\\
d=\sqrt{(8-(-2))^2+(5-4)^2}
\\\\
d=\sqrt{10^2+1^2}
\\\\
d=\sqrt{100+1}
\\\\
d=\sqrt{101}\text{ units}
.\end{array}