Would you risk your life to save a criminal?

Let’s say you’re a police officer. If a criminal starts to fall, he clings to the ledge of, say, a building, but loses one hand. He asks for help. What do you do? If you don’t help him, the criminal may lose his grip, fall and die. If you try to help him, he might use your grip to pull you forward and make you fall. What do you personally do?