Upon entering this area you will see two gun turrets, one horizontal and one vertical. You should see a faint beam of light leading away from the turret, this is its line of fire. If you stand in the laser sight for more than a couple of seconds, the gun will tear our hero to shreds. To get past this next section we need to get rid of the horizontal gun.
To do this, jump across the gap and over to stand in the beam of the vertical turret. Before either gun starts shooting, quickly jump back across the gap and stand on top of the horizontal turret. The vertical turret will move back and forth across the ceiling, when its laser is above the horizontal turret, stand in the beam so it shoots. It will return back to its original position and then come back again, once more get the turret to fire at the horizontal gun and it will be destroyed. Jump across the gap and continue to the right.

