#### Answer

$13 \text{ units}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the Distance Formula to find the distance between the given points $\left(
6,13
\right)$ and $\left(
1,1
\right)$.
$\bf{\text{Solution Details:}}$
With the given points, then $x_1=
6
,$ $x_2=
1
,$ $y_1=
13
,$ and $y_2=
1
.$ Using the Distance Formula which is given by $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}
,$ then
\begin{array}{l}\require{cancel}
d=\sqrt{(6-1)^2+(13-1)^2}
\\\\
d=\sqrt{(5)^2+(12)^2}
\\\\
d=\sqrt{25+144}
\\\\
d=\sqrt{169}
\\\\
d=\sqrt{(13)^2}
\\\\
d=13
.\end{array}
Hence, the distance is $
13 \text{ units}
.$