There are many ways to do this, I prefer the distance formula it looks like this:
[tex] \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]
We are given 2 pairs of coordinates: (0,2) and (0,4)
0=x1
2=y1
0=x2
4=y2
We take the numbers and sub in the values above in place of the variables:
[tex] \sqrt{(0-0)^2+(4-2)^2} [/tex]
Simplfy it:
[tex]\sqrt{(0)^2+(2)^2} [/tex]
0^2=0
2^2=4
We are left with :
[tex] \sqrt{4} [/tex]
[tex] \sqrt{4} =2[/tex]
Final answer: 2