Rangehood installation, angled ceiling

[Shacklife]

Hi all,
In the kitchen of my shed-house is a gas stove/oven but no rangehood or extractor fan - I would like to install one. I plan on replacing the gas unit with an electric one, and an induction cooktop.
The ceiling is Colourbond at a ~40° angle, with just a 90mm cavity between that and the roof, corrugated gal sheets. I'm not sure how to approach a solution.

My question is, how should I go about building a rangehood to suit, with coverage for a 60cm cooktop? What should I be looking for in terms of a fan, hood and vent?
I'd welcome rough ideas or specific products, am hoping to source most second hand and happy to construct a cowl etc in timber where possible.

Cheers,
Rob
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[ForeverYoung]

the solution to the slope is you make an oval hole so the flue (if round) can be vertical.
if a square/rectangle flue then similar but different - not sure what shape you call it.
in the past I just made a template to get the hole shape right, but there are probably google answers if you put in the flue size and roof angle.

as for the rangehood itself - get one that sucks, literally.
see a demo and make sure it can suck & hold an A4 piece of paper.

width - to match your cooktop.
height above cooktop - as per safety specs - they are different for gas and electric.

one thing to remember is you want the flue above the roof to be high - in fact, higher than your ridgeline, otherwise it won't draw as well as it should; but you rarely see anyone do it.

[ErrolFlynn]

how should I go about building a rangehood

That would be quite a project. Consider buying one and save yourself work and possibly troubles.

I've only fitted one rangehood. It leaked on the first downpour. And I thought I was being so careful. Tried to fix it - failed. Called in a roof plumber - okay for a while, then it leaked. Called in another roof plumber and got it fixed.

I promised myself if I ever fit another one it's not going through the roof. It'll be going through the wall where it's protected by the eaves.

[r3nov8or]

That would be quite a project. Consider buying one and save yourself work and possibly troubles. ...

I think the problem here is that, judging by the steel splashback, the roof/ceiling starts at around about the start/underside of a legal rangehood, and you won't find one off the shelf with that profile.

@Shacklife, can you confirm the distance from the hob to the ceiling measured at the splashback...

[Shacklife]

I think the problem here is that, judging by the steel splashback, the roof/ceiling starts at around about the start/underside of a legal rangehood, and you won't find one off the shelf with that profile.

@Shacklife, can you confirm the distance from the hob to the ceiling measured at the splashback...

Between the hob and ceiling is 570mm.

Thanks for the other suggestions, much appreciated.