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At all other times the azimuth will be somewhere between 90 and 270.
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A -80 dec star is never further than 10 degrees from the celestial pole(nor any closer) therefore it's position when transposed to azimuth can never be further than 10 degrees from true south, or 180 degrees, so will only ever be between 170 and 190 degrees azimuth.
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Stand exactly at the equator. The azimuth will be as Joe or Simon described.
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And at any other latitude. Ones latitude has no effect on the stars azimuth, it only shifts the celestial poles altitude.