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You seeing the curvature of the Earth is an optical illusion. To demonstrate, get a toothpick, a sharpee marker with its cap, and a basketball. Fix the marker so that the marking end is against the ball and the other end is fixed to the top of the toothpick. The toothpick should be sticking as straight as possible out of the ball, don't pop it.
The basketball is the Earth, the toothpick is you standing straight up and the marker is the line of sight to your eyes. Turn the marker around and you get a circle that is the edge of your vision of the world. This circle does not curve down at all, it curves around you! Your brain thinks it is curving down only because it perceives the horizon to be against a perfectly flat plane perpendicular to your line of sight.
So you get higher and higher, the line of sight can trace further towards the equator of the Earth.
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