Yeh I kind of went away from the original premise of your post there. Still it made me think what is the actual amount of visible curvature and how does one calculate the angle of dip as shown in the diagram. Btw that diagram was made using Blender. I just added a sphere and moved the camera to just above the top of the sphere.
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Oh, nice. Feel free to calculate. I believe I've seen specific earth-curvature calculators in my previous flat earth debates. They love to use the angle calculators to prove it's impossible to see ships at a certain distance or whatever...