Understanding the Terms
* Horizon: The line where the sky meets the Earth.
* Zenith: The point directly overhead.
* Altitude: The angle measured vertically upwards from the horizon to the object (in this case, the star).
* Azimuth: The angle measured horizontally from North, clockwise, to the object.
The Setup
The star is halfway between the horizon and zenith, meaning its altitude is half the distance between the horizon and zenith. Since the zenith is directly overhead, the distance between the horizon and zenith is 90 degrees.
Calculations
* Altitude: Half of 90 degrees is 45 degrees.
* Azimuth: The star is halfway between the horizon and due east. This means it is 45 degrees east of north. So, the azimuth is 45 degrees.
Answer
The altitude of the star is 45 degrees and the azimuth is 45 degrees.