2. Approximate the Galaxy as a uniform disk of constant thickness, with the Sun halfway between the top and the bottom. Consider the line of sight at an angle b away from the Galactic plane. Note: The sketch shows the Galactic disk "edge-on".
a. Show that (except for very small b), the optical depth of extinction by interstellar dust in the disk must approximately obey cosec(b).
b. At what Galactic latitudes, i.e., what range of b, would an astronomer want to observe other galaxies without having to worry much about extinction?