B How to calculate the distance between a Star and Zenith

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To calculate the distance between a star and Zenith using Sidereal Time, Right Ascension (RA), and Declination (DEC), one must solve a spherical triangle. The process involves determining the altitude of the star and its azimuth relative to the observer's location. Resources on celestial navigation provide detailed methodologies for these calculations. The provided link offers further insights into the necessary formulas and examples. Understanding these concepts is essential for accurate astronomical observations.
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I was reading through some questions online and one asked the reader to calculate the distance between a star and Zenith given Sidereal Time 17hrs, RA*=16hr30mins, DEC*=50degrees. Could someone explain to me how you would do this please? There were no examples and so far I haven't managed to find one online.

Thanks in advance! :)
 
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Aisling Kelly said:
I was reading through some questions online and one asked the reader to calculate the distance between a star and Zenith given Sidereal Time 17hrs, RA*=16hr30mins, DEC*=50degrees. Could someone explain to me how you would do this please? There were no examples and so far I haven't managed to find one online.

Thanks in advance! :)
I think it is solving a spherical triangle and appears in books on celestial navigation.
 
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http://star-www.st-and.ac.uk/~fv/webnotes/chapter7.htm
 
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