Suppose on a nice December evening you gaze upon your favorite star. You stick your handout into the sky and point at it, then you keep your arm fixed and frozen. Until 6 months later when you reach for the sky again and point at your star with your other arm. Suppose now you observe the angle you have created with your arms to be 0.2 degrees . How far is the star from the sun? [hint: assume the earth orbits in a circular motion around the sun once every 12 month, where the orbit has radius of 149.6 × 10 6km .