So on the link belt 30 ton. There is 70' of "live" stick. You hit the lever in the cab, and 70' of boom goes out. It also has a 20' section of boom- the very tip section- that is "dead". Its not powered out when you push the lever.
To put out the dead section, you push out the 2nd section (and the tip goes out with it), then retract the 2nd section after locking up the "dead" section in the extended position. Then you install a big pin, locking the dead section in the extended position. And then you unlock installing pin or latch. Providing you with another 20' of main boom.
If you know what you're doing, and by yourself, you can extend the dead section in only two trips out of the cab, once to lock it, once to put in the pin and unlock it. If its one you're unfamiliar with, it really helps if you have someone else to help you extend and retract into the right spot to get the pins installed. Otherwise it can be a bunch of in and out of the cab.
A "live" boom or "full power main" means no installing pins, push the lever in the cab and all the boom goes out.
The reason for a dead section, it gets you another 20-30' of stick, without adding more extension cylinders or extension cables, both of which can be maintence items. The dead stick is just a big old pin holding it out. But with some in and out of the cab to get it installed/ extended.
Live power boom means no in and out of the cab, but likely extension cables or extra cylinder weight inside the boom (which means maintence and/or chart reduction). Dead stick means more work to get boom to full extension, with a stone simple means of holding it there. There are a lot of jobsites where you may not have the 60' of flat open area to install the dead section, and it takes some time to put it out.