Just for completeness of the discussion, here is the chart:
As you can see, the shooter at 120 yards (off this chart) has to hold over the target like 15-16 inches. Note that his vertical aim was consistent within, say, 3 inches (shoulder, cheek.) Just dumb luck? Who knows... we don't want another sniper on a grassy knoll, but we may well have one, plus a dumb kid who wouldn't be able to hit a proverbial barn from that distance.