Estimate rise time (and therefore useful bandwidth) of a measurement system. Oscilloscope (mainframe) has some rise time, the vertical amplifier plugin has some rise time, probe has some rise time. Then the rise time of the system is the root sum of the components. Of course today you don't have plugins and mainframes, but you also don't need an analog computer to estimate rise time, do you?
Another use is to work backwards:
You have a pulse generator, and you know its rise time. You know the scope rise time. You don't know the rise time of the device under test that is connected between the pulse gen and the scope. You can dial in the pulse gen and scope rise times as two of the inputs, and the measured rise time (from the scope) as the output, then adjust the third input dial until you find the null. That dial then indicates your DUT rise time!