you guys must hunt under pristine conditions and nothing like a walking deer in early light ever happened to you, so you can post your "don't shoot trees" comments. Reality sucks outside the campfire and the internet, sh-t does happen and if the deer is walking at the edge of a thicket, sh-t is more likely to happen, or you could just let him walk. I chose to shoot.
Now back to the original question, just for the fun of it, do you think your 75Amax or 77TMK would make it through a 1 inch sapling into a deer neck as well as a 150 grain 308 bullet would?
I hit a finger sized limb betwixt me and a deer with my .243 a few years ago. Killed the deer deader than shyt. Blew the top of it's head right off actually. Only problem is, I was aiming behind it's shoulder. You were lucky just as I was that day. The deer, not so much.
