Exactly where you see Polaris in the northern sky depends on your latitude.

At the North Pole, Polaris is directly overhead. From New York City, the North Star is almost halfway from the horizon to the zenith. At the equator, Polaris appears to sit right on the horizon. So, as you travel north, the North Star climbs progressively higher. As you head south, the star drops lower and ultimately disappears below the horizon as you cross the equator and head into the Southern Hemisphere.