"At zenith" means directly above your head - so high that it can't go any higher.
Less than a degree from the zenith.
No, zenith and the North Star are not the same. The zenith is the point directly above an observer, whereas the North Star (Polaris) is a star located near the celestial North Pole in the Northern Hemisphere, making it useful for navigation.
57.5 degrees north of your zenith.
If you are at a location with a latitude of 10 degrees north, a star with a declination of 10 degrees would be located directly overhead, at your zenith. This means the star is in the same plane as your latitude, making it the highest point in the sky relative to your position.
If you were standing at Earth's North Pole, the North Star, also known as Polaris, would be located directly in the zenith, or straight overhead. This is because Polaris is situated very close to the celestial north pole in the night sky.
The star closest to the zenith depends on your location and the current time, as the location of stars in the sky changes throughout the night and with your position on Earth. The star that is currently at the zenith will be the one directly overhead in your local sky.
If you're standing exactly on the north Pole, then during the six months when the sun never rises, Polaris ... the "Pole" star or "North" star ... makes a tiny circle directly over your head once a day, about 1/3 of a degree from the North Celestial Pole. Everything else in the sky circles the same point once a day, but in much larger circles.
no
If a star's azimuth is 90 degrees, it is located directly east on the horizon. An altitude of 45 degrees means that the star is positioned halfway up in the sky, forming a right angle with the horizon. Therefore, this star would be visible in the eastern sky at an angle that is halfway between the horizon and the zenith.
Arcturus is the Zenith Star of the Hawaiian Islands
peak A+
Only if you are at the North Pole.