Defeat General RAAM in Hardcore Difficulty.
30 (G)

Once the message on your screen pops up and says "Pale Horse" (The last chapter of Act 5), that means you are about to confront and fight General RAAM. Before opening the door, leading to the next area, make sure to grab the following items in the room your currently in:
LONGSHOT SNIPER RIFLE 
TORQUE BOW [This is sort of hidden behind a pilliar by the wall]
BOTH Ammo Crates on either side. Make sure the LONGSHOT SNIPER RIFLE has 24 Bullets.

Go out the door......



After the cutscene, take cover on the wall directly in-front of you. 
Pull out your Torque Bow and act like you are going to blind-fire it, once the parts of the bow are ALMOST squeezed down, get out of cover and aim it at General RAAM.
THIS SENDS THE KRYLL OFF OF HIM!

Quickly take out your LONGSHOT SNIPER RIFLE and shoot him in the head. Make sure to perfectly active reload both the TORQUE and the LONGSHOT.

RINSE AND REPEAT AND HE WILL DIE. [It may take a few tries]

Side NOTE: If General RAAM is approaching you and is too close for comfort, I suggest getting out of cover and Roadie Running to the opposite side of the area, and do the same stuff. Oh, and don't worry bout' Dom.