Now mind floor trap. Shoot the swinging one before it reaches you.
Follow the path to a room with a lever. There is a small corridor behind it with a document.
Now use the lever. The gate will open.
Go through it and grapple swing across.
On the other side, you can climb up around the corner and rope pull open a barricaded passage.
Use the wall climb to get back up and out.
Return to the mission giver to finish the mission.
Follow the mission marker to Manu and talk to him.
All you have to do now is solve the tomb in the south east and return to Manu to finish the mission.