Map measurements

Solution 1:

Here is a rough answer of what the distance 5500 represents :

5500 range is about from your Inhibitor to the outer mid turret.

EDIT : What's important here is :

• Range doesn't improve with skill level
• Range isn't big enough for lane swap, you first need to get closer before using ult.

Solution 2:

When mousing over the ability icon a white circle will appear on the minimap representing the abiliy's range. Check out Patch Preview Video 1.0.0.122 at 1:32. It clearly shows the range of Twisted Fate's Ultimate on the minimap (5500 if you look closely at the tooltip) in the lower right corner. It looks like it is approximately 2/3 of the total map distance in height but roughly, maybe just less than, 1/2 the distance from Blue to Purple on the diagonal.