Approach the corner ledge which is close to the ladder and take a running jump to grab the opposite side. Pull up and continue through the cave. Use the switch to open the gate and enter the Drawbridge area.

Go to the other side, close to the ice. Use the raised ledge and take a running jump to land on the corner of the slope, as shown in the screenshot.

From there jump to the next slope and then to the pathway beneath the snowballs. Enter the cave on the left and go on with the level, dealing with the thug on the snowmobile.