HIPPARCOS (an acronym for HIgh Precision PARallax COllecting Satellite) was a scientific mission of the European Space Agency (ESA). It was the first space experiment devoted to astrometry, the accurate measurement of star positions, distances from us, parallaxes, and proper motions.
(a) If the measured parallax shift of star A was 0.1 arcsecs and the parallax shift of star B was 0.05 arcsecs, which star was farther away from the Earth, why?
(b) What is the distance of the farthest star in parsecs?
(c) What is the distance of the farthest star in light-years?
Please show work and explain