An arc second is a measure of angular separation, not of distance. It is therefore an inappropriate unit for measuring the distance to a star.
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There is no such thing as one degree of minute.There are 60 minutes of arc in one degree of arc and 60 seconds of arc in one minute of arc
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there are 60 seconds in one minute. An arc minute is 1/60 degree and an arc second is 1/3600 degree