Head to the marked location to meet up with Buck. Next, find a good jumping spot then dive to the lagoon below. Swim back up then go to dry ground. Climb the vine up and enter the cave to find the entrance.
Climb up the next vine then jump down. Quickly kill the pirate inside the room then take out the two others outside. Before moving forth, take out the two guard dogs and the heavy gunner ahead as well. Continue killing enemies until you reach a ladder which you can use to zip down to the next area.
Kill the enemies on the platforms whatever means you please then head down. Continue to the lower area. Avoid the scalding hot water / acid all around then gently make your way through the narrow corridor. Be careful of the small geysers that blow hot water along the way. Once you've reached the open area, take out the enemies and follow the path to the ruins.
Continue to the next open area but be careful as three enemies will immediately head out. Take them up and cross the hot pond then climb the vine up to the ruins. Kill any remaining enemies here then use the compass on the next door to open it.
Head to the temple and make your way across the path at the bottom. Quickly move to higher ground from time to time to avoid getting scorched by the sulfur eruption. Climb up to the temple and use the compass to move the statue and reveal a hidden stairway below.
Go downstairs and take out the komodo dragons until you reach the sarcophagus. Open it to get the knife inside then quickly run to the exit. Crawl as fast as you can before you get crushed and you'll be safe and sound outside. Mission complete.