Jump the gap, climb down the ladders and drop onto the stacked movable blocks.
Before going on, I recommend heading to the left, dropping down into the hallway below and killing the 3 tribesmen. Climb back up and, if Lara is injured, use the medikit on the ledge to the left.
Climb back onto the movable blocks and pull the upper block once to the left. Hop down and pull/push the rightmost block underneath the rightmost ladder and climb up. At the top, turn left and jump to grab the next ladder, climb up and jump back over to the right.
Press Action use the switch set into back wall (S1). This opens three previously sealed passageways, one of which is just above on the right. (This is marked A on the map, the others B and C.) Climb up there and get a medikit and an ammo clip for the Uzi.
Climb down and use the switch (S2) set into the side wall to lower the block (B2) on which Lara standing. Climb back down the ladder to the movable block. Jump to grab the ledge on the right and pull up. There are several sets of retracting spikes ahead. As you make your way to the right, then down along the right wall, wait for each set of spikes to retract so Lara is not injured.
Use the switch (S3a) in the room at the bottom right corner of the map to reveal another switch (S3b) in the hallway above. Climb the first two ledges above the switch you just used (S3a). Kill the 3 enemies in the hallway if you didn't do it earlier. Continue to the left and use the new switch (S3b) to raise the block (B3) on which Lara is standing.
Using this switch also opens a door (D3) back in the spike area. Go to the right, climb onto the block you moved earlier and jump to grab the ledge with the spikes. Make your way carefully past the first set of spikes. Then when the second set retracts, climb into the opening above. Here you'll find a page from Lara's father's notebook (NB). Drop down carefully, avoiding the spikes, and return to the left to the movable blocks.
Move the leftmost block beneath the leftmost ladder and climb up. Use the switch (S4) to extend a ledge (L4) with a ladder just to the right. Climb down.
Now move the left and right blocks back against the middle block. Climb up and push the upper block to the left, directly beneath the ladder you just extended. On the way up to the exit, kill a couple of dogs and pick up a medipack.
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