Originally Posted by younggun308

I'd do as flags says, aiming for the middle of the chest, but I would think that if your only opportunity is on the back end of your range (60 yards, you say), you should avoid any quartering shots and only attempt broadside shots.
If all you can do is cover a pie plate and know it'll land somewhere therein, you don't want to risk gut-shooting or brisket-shooting a deer because it presented you with a narrow target.