Continue to the right, ignoring the hanging boxes for a moment and continue into the cave. Climb the ladder here and jump to the box with the bird sitting on it, jump up and down on the box until the rope snaps. Push the box as far to the right as you can. Jump up to the ledge above.
Continue right and walk through the first puddle. When you reach the second pool of water, jump onto the dead body floating in the centre. Wait here for a few seconds and a shadowy figure will walk into the water on the right and die, allowing you to jump over to the other side.
Grab the body next to the waters edge and push it to the right. Drop it into the hole to activate the crushing trap. Jump across the top of the trap to the other side. Continue down the hill to the right.
When you reach another crushing trap, look beneath it to see a raised piece of ground. This is a safe zone. So jump to this section and then over to the other side. The second crushing trap you see moments later is the opposite. The raised piece of ground will activate the trap, so jump over it.
Following the crushing traps, jump across the spike pit. As you do, the camera will pan across a bit to show three shadowy figures with blow darts. If you stand still they will kill you, so quickly jump back across the spike pit and past the two crushing traps (remember the safe spots!). The pit and the traps will take care of your pursuers.
Once the three shades are dead, return back to where we spotted them intially across the spike pit and continue to the right.

