ANSWER
8.94 units
EXPLANATION
We want to find the distance between the points (0, 10) and (8, 6).
To do that, we will use the formula for the distance between two points:
[tex]D\text{ = }\sqrt[]{(x2-x1)^2+(y2-y1)^2}[/tex]where (x1, y1) = (0, 10)
(x2, y2) = (8, 6)
Therefore, the distance between them is:
[tex]\begin{gathered} D\text{ = }\sqrt[]{(8-0)^2+(6-10)^2} \\ D\text{ = }\sqrt[]{8^2+(-4)^2} \\ D\text{ = }\sqrt[]{64\text{ + 16}} \\ D\text{ = }\sqrt[]{80} \\ D\text{ = 8.94 units} \end{gathered}[/tex]