I was just doing the math on this in response to the statement "The horizon is always at your eye level" statement on the wiki. The only way to see the curvature would be if the horizon is perceptibly lower than eye level, refuting a key tenet of FET.
In RET the horizon is always slightly below eye level. I.e. if the tangent to the surface where you are standing is at 0 degrees, the horizon is at about 0.04 degrees below that tangent plane. Not enough to measure.
But, if you go up to 5000 feet, it's 1.25 degrees below, and at 10000 feet, 1.77 degrees. In an airliner at 40000 feet, it would be 3.5 degrees below the tangent plane.
From a mountain top it should be possible to build a rig to measure 1 degree of additional sky above the horizon, but I don't think you could see it with your naked eye. From low altitude, there's no way you could perceive it.
Here's the calculation:
https://www.google.com/search?q=arccos%283%2C959+mi+%2F+%283959+mi+%2B+40000+feet%29%29+in+degrees