content: While it seems unethical to not follow up right away, hunter safety courses recommend to wait about 15-30 minutes before tracking the animal(a wounded animal pumped up on adrenaline is very dangerous). I've heard it is actually illegal in Canada approach a wounded bear, but I do not have a source for it. And, with penetration like that, the bear had to have died before the adrenaline wore off. It probably died before it felt the wound.