Angles of shadows will not determine any dome height.
Because Australia will be outside of the sun angle over distance.
Think of it like a radar screen.
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If you're genuinely intrigued then my advice to you is to try and avoid the global bias as you try and make alternate thoughts.
I used to be dead against anything alternate to the spinning globe.
It made sense to me at school and even after school, because it fitted. Why did it fit?
Because I was schooled into how my observations supposedly matched it but not having any proof of it.
Later I started to question bits and once I saw how stuff was added in to fit, I just just went farther into it to see if for the nonsense it is.
But that's just me.
It's up to each individual to decide what's what or what's not.
However you want to decipher what my extremely poor English says to you, is up to you.
Rather than a big supposed 4 million km sun in a space vacuum with Earth just spinning around it, eh?
They aren't ice crystals.
Where do you think diamonds and what not come from?
Do you think they're only small bits of crustal that we wear as jewelry? Most will, just as gold and silver are passed off as rare metals. But are they?
I think not.