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Your understanding of perspective is wrong, I'm afraid. :oFlatearth claims perspective and vanishing point and sun-set happens because sun is moving away from us but the sun never goes below the horizon based on flat earth model and perspective does not make things disappear, only makes them smaller a mid-range telescope should be able to restore the sun easily even if you are in the dark side when the spotlight of the flat earth’s sun moves far away from you afterall the sun is only 3000 miles high according to FE and diameter of earth is about 14 miles..anyone standing in the middle section of the dark side should be able to view the sun with a telescope easily..a simple geometry maths will tell you the viewing angle is about 20 degrees..
If as per flat earth claims we cant see the sun due to mountains and continents blocking our view(didn't know our earth was covered with Himalayas everywhere we looked and didn't know our continents as high as Himalayas) .if that's case then we would not have problems seeing the flat earth’s sun when we are flying-for example anyone flying out of Sydney now at about 9 pm 30000 feet-6 miles high towards Singapore would have a very good viewing point catching a glimpse of the 20 mile diameter bright sun rise in Rio (even with naked eyes )which is 3000 miles up at probably 6000 miles away…but that's is not happening as no one has ever claimed they saw the sun with naked eyes or a telescope coz the flat earth model fails…anyone who has flown over a big city like new York or los Angeles should know you will able to see the city lights even if your 6k miles high in the sky..
Before I explain (and the explanation happens to be quite simple, because perspective is a scientific law, whether you agree with it or not), I would like to point out two typos of yours, i.e. the diameter of the flat Earth is obviously not "14 miles", but well over 14K miles; secondly, the aeroplane is 6 miles high (which you typed correctly the first time), not "6k miles" high (the typo for the second time you typed it).
Also, the straight-line distance between Sydney and Rio (on a flat Earth, of course), just like between Sydney and Santiago, is well over 12,000 miles, at least double and not, "6000 miles":
Sydney to Los Angeles is already 7,500 miles:
airmilescalculator.com/distance/syd-to-lax
What more Sydney to Rio (once again, on a flat Earth, of course)?
Now for the explanation on perspective, i.e. when parallel lines converge towards a "vanishing point", the object located at that "vanishing point" literally vanishes from the sight of the naked human eye.
I don't know what the range of a "mid-range telescope" is, but I'm guessing it can only see a tall object (let's say, a big ship) located at most a few hundred miles away, not thousands of, let alone over ten thousand, miles away on a flat Earth.
Yes, the sun is a much bigger and taller object (diameter of about 30 miles) and located about 3,000 miles above the flat Earth's surface, but when it reaches a certain horizontal distance (let's say at least 5,000 miles) away from a certain point on Earth (or even from an aeroplane a few miles in the air), both the naked human eye and the "mid-range telescope" simply have no ability to see it.
Only a very powerful (or powerful enough) telescope (if it can be made) can see the sun/moon so far away:
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