5000 meters is 5 kilometers, which is only 3.1 miles. I was unhappy when an escort in NYGM spotted me at 7000 meters, but 5000 doesn't seem unreasonable.
Now that I think of it, 7000 meters is only 4.2 miles. Someone recently posted that the horizon from the conning tower of a sub is around 8 miles, and ships can be seen a lot further away than that.
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