Kuwaq Yaku – Path through the Jungle - Using Eagle's Talon

After retrieving document #13. Return to the main path and continue to the left (west), up the fallen tree trunk that juts out over the next area.

There are 2 mercenaries below. If you like, you can jump up into the tree ahead and try out your new skill, Eagle's Talon.

Just wait for one of the men to approach and you'll get a brief tutorial. The Melee attack is context sensitive. As long as Lara is up a tree and you see the Melee prompt, just press the button.

She'll shoot the guy with a rope arrow...

...use her own weight to drag him up into the tree, and search his body on the way. (The looting occurs even if you haven't unlocked the Boa's Coil skill.)

Lara ends up in the bushes below. The second man may approach you, but if not, just wait for him to calm down and turn away. Then sneak up behind him...

...and press Melee for a regular stealth kill. Loot his corpse and continue along the path.