as
HolyWarr27 points out, it's much easier to do with a gun, especially if you wait for the shotgun. however, if you want to do this as early as possible, this can be done with the bow and arrows.
once you are in the 3rd area you will be introduced to throwing bottles as a distractions and presented with two enemies. you can just kill them and you will have 4 bottles to try with. if you miss, continue to the next set of enemies, kill them all and continue until you see the TR logo indicating a checkpoint. this should be after you go through the building and start climbing on the metal walkways and up a ladder. this way you can just press "reload checkpoint" and start here with all your bottles available again. (the first area doesn't work because the checkpoint starts you at the bottom of a drop, so you can't go back.)
now the technique: pick up a bottle with
, hold
and aim up as high as you can. press
to throw the bottle and continue holding
. you have to be fast and it may take a few tries, but once you throw the bottle you need to press
again once your bow is ready to fire. again if you run out of bottles you can always reload.