Thanks for you armchair advice, BMT, but it sounds like a lack of experience and knowledge of shooting.

You seem to thinking about theoretical trajectory, not shooting skill.

The six inch target I referred to is not some input to your ballistics program, but an actual target a hunter must be able to hit every time offhand at 150 yards. At 50 yards, he needs to be able to hit 2 inches every time. The issue is not just shooting a charging animal, but shooting a wounded animal which is running away, or one which hold up and waiting for you, or one which is running past you as it charges another person when the hunting party is spread out.

If you are a poor shot, you can just wait until the animal closes the distance on you. Or, as some seem to prefer, depend upon your guide, hunting partners, or dumb luck to save you.