Given:
The given two points are
[tex]\begin{gathered} (x1,y1)=(5,-2) \\ (x2,y2)=(5,3) \end{gathered}[/tex]Required:
To find the distance between the given two points.
Explanation:
The diatnce between the two points is given by
[tex]\begin{gathered} d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\ \\ =\sqrt{(5-5)^2+(3-(-2))^2} \\ \\ =\sqrt{0+5^2} \\ \\ =\sqrt{25} \\ \\ =5 \end{gathered}[/tex]Final Answer:
The option A is correct.
5 units.