I've seen film of Howard Hill using a long bow on a lion, at a full run, across the path of the arrow. Perfect hit.
He was as proficient as an archer can get.
His work is some interesting reading for archery buffs. Well worth your time.
Out here in Colorado, and in the units that I haunt, it is a tricky game to figure out how far to pack in on a rifle hunt. You want to get away from the masses that have moved game away from the roads but might want to stay close enough that you are taking advantage of the animals forced movements. There is no universal distance but I like the 1.5 to 4 mile range for day hunts where I am not planning on bivying out. This keeps you in that productive buffer zone where the animals are really...