How do I exit the coliseum floor

Hint 1 of 7:

The only exit is the window in the back, with a torch on both sides.

Hint 2 of 7:

Remember how you got up the top of the cliff back at Sanctuary ?

Hint 3 of 7:

GET ROPE on ground.      +1

Hint 4 of 7:

You also need a hook to grab onto the wall when you throw the rope.

Hint 5 of 7:

Maybe you should check out the skeleton.