When we see contrails in the sky, let's say traveling left/right in your vision, you are seeing across a sky that is easily a couple of hundred miles wide. I mean, we can see one side of space and then another, so we can see across a great distance in the sky depending on the height of an object. Am I wrong? I mean, we can see entire cities from a long distance away on the ground, so an unobstructed view of the sky would give us the ability to see something very long, right?
That being said, an airplane is following a curve, and when a plane makes a trail it is essentially tracing out the shape of the earth. Being that this trail is very high up, and following the curve, why don't the trails curve (left/right trail), and we see a giant arch across the sky? None of the lines in the sky look curved from any direction, they are straight lines, or at least appear to be.
Am I missing something? Maybe it's a dumb question, but I remain ignorant on the topic because I haven't been able to find the answer from anyone with a clue. This site seems legit, so I asked it here. Thanks, in advance.