From the water to the door

Warning: pic heavy
I'm on my way to my second encounter with Griever. I just retrieved the Tremor Gauntlet and finished the train depot section.
Now, I knew I thought where I should be going next. There was a crystal blockage in the cathedral and with the new Tremor Gauntlet in hand that was the next logical place to go.
Behind the door, there's a small piece of hallway and a bunch of water. In the water are two floating platforms. It appears you can't return from the platform since the height is too much.
I suppose one should jump down, get to the second platform and somehow reach the next door. Problem is, the door seems out of reach.
Overview of my current location, for good measure.
Now either I'm in the correct place at the wrong time (too early) or I'm just not seeing a way out where there is one. It looks impossible to get back to the door where I came from, but old save-games help with that.
Now, now do I get to that door?
Best Answer
The reason I posted this here was because I didn't figure out in time the crystal switches could be hit by pretty much anything. So far the obvious way to hit them was with your throwing weapon. Those don't work under water.
Your sword does. As PapaStan indicated, hit the switch on the second block (closest to your destination), jump up and lift out of the water with the rising block. When the block is at it's highest, jump towards the door and glide the remainder.
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Images: Ketut Subiyanto, Ketut Subiyanto, Erik Mclean, Pixabay