The scenarios I'm coming up with all seem to be movie scripts - for example, someone is kidnapped and blackmailed into being a suicide bomber. Would you shoot them to stop their approach, or allow them to get close and blow you up as well as themselves?
Or someone with a deadly disease (Ebola?) is still ambulatory, but is approaching you, maybe seeking help. If you're not a health care worker with the right PPE, would you risk infection by letting them get within contact distance?
Or a boat you're on capsizes - you're NOT a great swimmer, but you think you can - barely - make it to shore. But some stranger from the boat panics and tries to climb on top of you, placing you at high risk of going under. Now what?