OBELISK OF KHAMOON: Double Pole Swing from HELL!

[Polfro]

Okay, when you get to the top of the first big column room, after Artifact no. 1 and killing the cat mummy, there are these two pole swings over a small pit that lower themselves the second you land on them. Lara is supposed to jump from one to the other and then to the scarab spring immediately without ever swinging, but I've had her try it about 20 times now and just can't master it. Is there a trick to this "instant jumping"?