Upon landing, take the ruby from the pot hidden just between the fire pit where you get torches and the snake's head. Climb up onto the gray platform. The snake will spot you so head back down to avoid the snake.
While you are standing on your first position, and the snake gone from its pillar, you will see a pot normally hidden by the snake's body come into view. Take the ruby from this pot. Also from this position, with the gray platform down, it will reveal another pot beneath the orange platform's base. This contains a Blood Salamander fragment.
Climb back up and go along the snake line. Turn to the left and grab a torch. Do not kill the lizard as it is required for the puzzle. Go back along the snake line and step on the orange platform. Scare the lizard to the end. Stand on the snake line once then go back towards the gray platform to let the snake attack. Move closer to the lizard then go along the snake line once again. The lizard will follow you. Go around to in front of the gray platform again then step on the snake line again to initiate its attack. Go towards the gray platform again to avoid the snake and scare the lizard behind the orange plate at the same time. The snake lunging will trigger the gray plate and will allow you to get on the gray platform. The lizard will trigger the orange plate which will allow you to access the orange platform. Go and pull the yellow lever to bring up the yellow platform.
Head on down via the crack and step on the line to initiate the snake attack again. Avoid it and cross over to the other side after it is done. Make the snake attack again to have a clear shot before climbing The Wall of Blades. The pattern here for the wall of blades is Climb Up, Up, Up, Left, Up, Right, Right, Right, Right, Right. Trigger the gray lever. Down, Left, Right, Up, Left, Left, Down, Down, Left, Up, Left, Down, Down. Stand on the snake line again to make it attack. Climb back up again to avoid it.
After it attacks and the coast is clear, go along the snake line onto the gray platform. You should be able to go down onto the orange lever just in time for evading the snake attack. Pull the orange lever to have arrows pelt the snake's side. The coast is clear to the next area.
This area is the place where you can finally kill giant snake. Just go up to the spear and throw it at the giant snake. Continue onto the next area.