Ah yes.. If I was at Sea Level there would be over 15000 ft hidden, but since I'm standing at 9000 and viewing 11000, for a combined 20000, with a 15700 decline there is 4300 unhidden.. Thanks for catching the math.. Now I need to re-investigate. Someone else pointed me at refraction and a 3rd person suggested figuring out parallax..
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I'm reasonably sure that refraction would be extremely slight on something like this, might change viewing by 100 feet or so. Sometimes when you look at a communications tower with a strobe light on it from a large distance, you can occasionally see it in spite of the fact that it is slightly over the horizon.