Am I thinking about curve correctly?

I have been debating with someone on Youtube about what should and shouldn’t be visible due to the Earth’s curvature. The individual is using Pilot Mountain in North Carolina and saying there is an observatory there that is at 2,200 feet. There are signs that point to other viewable mountains from the observatory. He is pointing to two mountains specifically: Mt. Mitchell and Mt. Rodgers.

Here is what I replied to him:

Pilot Mountain is 2 ... Read even more

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