HP Pavilion Boot-up Problems

For the past few days, whenever I turn my laptop on, it'll immediately shut off if I open the monitor up too far back. I've had it for a few years now, and this is the first time it's done this. I can turn it on and have it running just fine if I'm careful about how far I have the monitor pushed open, but after I reach a certain "point," it just snaps off. I'm guessing it has something to do with one of the cables connecting the computer itself to the monitor, but I'm not sure of what it could be, and any help would be greatly appreciated. I'd also like to know how much it would cost to get it repaired if at all possible. Thanks in advance.