Uppsala, Sweden, is 2090 miles from north pole,
and from there you see Polaris by 59.859 degrees.
Hp = 2090 * TAN (59.859) = 3599.5 miles.
Cairo, Egypt, is 4149 miles from north pole,
and from there you see Polaris by 30.046 degrees.
Hp = 4149 * TAN (30.046) = 2399.8 miles.
As you can see, there are some difficulties to prove that Polaris is 3100 (or 3300) miles above Earth.