Does the Polaris appear to rotate if...?

Question

you're not standing at the north pole. Our TA said no and he's probably right but I need some explanation.

Answer 1

Not enough that you'd notice.  The polar axis of the Earth is pointed almost directly at it.  Even if you take a long exposure picture (for a few hours to see star trails), you'd barely notice it making a little tiny circle.

Answer 2

Polaris is not exactly at the north celestial pole so it does appear to rotate in a small circle. It makes no difference where you're observing it from, whether it's overhead or near the horizon it will still rotate in the same way.

Edit:

Your last statement about the radius of the earth being negligible is correct.

Answer 3

I'll just add one thing to what Eri said.  You don't have to be at the north pole.  No matter where you are, Polaris will appear nearly motionless, just rotating in a tiny circle all day, all night, and all year.

Edit: Geez, bikenbee, this happens a lot.