Final answer:
The parallax angle for a star 11/2 parsecs away is 2/11 arcseconds.
Step-by-step explanation:
To find the parallax angle for a star that is 11/2 parsecs away, you can use the relationship that the distance to a star in parsecs (D) is the reciprocal of its parallax (p) in arcseconds. Hence, the formula we use is p = 1/D. In this case, the distance is 11/2 parsecs, so the parallax is p = 1 / (11/2) = 2/11 arcseconds. To convert this to arcseconds, we need to remember that there are 3600 arcseconds in a degree. However, since our calculation is already in arcseconds, we simply express the parallax angle as 2/11 arcseconds.