The distance between two points can be found with the following equation:
[tex]D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Applying the data for the two points, we can find the distance as shown below:
[tex]\begin{gathered} D=\sqrt[]{(5-10)^2+(6-0)^2} \\ D=\sqrt[]{(-5)^2+6^2} \\ D=\sqrt[]{25+36} \\ D=\sqrt[]{61} \\ D=7.81 \end{gathered}[/tex]The distance between the points is approximately 7.81 units.