If you happen to be staying in a hotel on the Gold Coast in Queensland Australia, you can watch the sun rise from the top of the hotel tower, then take the lift to the ground floor where you can watch the sun rise all over again, even though the sun is the same distance away, albeit a tiny bit closer the 2nd time.
If you are on the West Coast you can watch the sun set, then take the lift up to the top of the tower where the sun will not yet have set, and watch the sun set again, even though the distance to the sun is the same, albeit a little further the 2nd time.
If the sun was appearing and disappearing due to passing a 'vanishing point', then it would make no difference on a flat earth whether you were at the top or bottom of a tall building. The sun should appear or disappear at exactly the same time. It doesn't because the earth is a globe and not flat.
If sunrise and sunset were due to passing a 'vanishing point' then the sun would also appear to start small at sunrise and gradually get bigger as it approached noon, after which it would gradually get smaller until it disappeared at sunset, whereas the sun stays exactly the same size all day. This all proves that the claim made by flat-earthers is false regarding sunrise and sunset.