The two angles used by astronomers to define the position of a star in the sky and define a coordinate system applicable anywhere on Earth are:

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Right ascension and declination are the two angles used by astronomers to define the position of a star in the sky and define a coordinate system that is applicable anywhere on Earth. Azimuth and elevation are used in the horizontal coordinate system, which is only applicable to a specific location on Earth. Latitude and longitude are used in terrestrial coordinate systems, not celestial ones. Horizontal and vertical angles are not specific enough to define a star's position in the sky.

The Two Angles Used by Astronomers to Define the Position