ASTRO 81 - Assignment #1due Friday of Week #1 before noonTo get full credit for these problems you need to show all your work. Longer problems withmore sub-parts are worth more points.1. How long ago did the light that we observe now set off from the following objects?(a) Venus (at its closest approach of 41 million km)(b) Proxima Centauri (the closest star to the Sun at 4.0×1013km)(c) Betelgeuse (at 1.3×1016km)(d) Stars at the opposide edge of our galaxy, the Milky Way (at 1018km)(e) Pollux (at 35 light years).(f) The Andromeda Galaxy (the most distant object that can be seen with the n akedeye at 2.1×1019km)(g) A quasar at a distance of 1023km2. What is the distance to Pluto (7.5 billion km) in astronomical3. What is the distance between the Earth and the Sun in units of Solar Radii?4. Consider the following approximated (latitude, longitude) coordinates of Europeancities; Paris (48oN, 2oE), Munich (48oN, 12oE) and Barcelona (42oN, 2oE). Comparethe separation (in km) of cities of equal latidudes with those of equal longitudes.5. What is the angular diameter of the Sun in units of radians? degrees? arcsec?