The goal is the high ledge straight ahead.

To get there, first take note of the 2 cranks: the one near the entrance operates the suspended wooden platform. The other crank, on the far left, closes the shutters so the strong wind no longer blows into the room.

Begin by turning the crank to close the shutters.

This stops the wind from blowing through the room but only temporarily. After a few moments, then they re-open, one at a time, from lowest to highest.

As soon as you've closed the shutters, run back toward the entrance.

Stand in front of the crank that operates the wooden platform. Watch the shutters and when the lowest one opens...

...quickly turn the crank to raise the platform.

Run around to the right and pull up onto the platform. Then turn around so Lara's back it to the open slats.

Or, if you prefer, after cranking up the platform, climb onto the wooden chest to the left of the platform, turn right and jump from there onto the platform itself. This takes a little longer.

If you've timed it correctly, the middle shutter will open, then the upper shutter, blowing the platform, with Lara standing on it, toward the opposite wall.

You must then run and jump to the painted section of wall and then scramble up it to grab the top of the horizontal plank above.

You may need to play with the timing a bit, depending on how fast you're able to crank, run and jump, but this is the gist of the puzzle. If you raise the platform too soon, it will sink back down before the shutters open far enough to blow you toward the wall. If you open the shutters then raise the platform, the wind blows the platform away before Lara can jump onto it. You need to get the timing just right.