You use it if you want to look at a waveform is short in duration but long after the trigger that causes it. Which means, if you set the standard sweep width of your scope to include both the trigger signal (far left edge of screen) and the signal you wish to view (far right side of screen), the waveform your looking at is so slender that you cannot see the shape.
Now, if you know the trigger and signal are 2mSec apart, you can set the delay to 2 mSec and look at the wac
Waveform that is 500nSec wide.
Or in the case of your 10MHz scope, you might want to look at some waveform that is 1 mSec after a trigger but only 10 microseconds duration.