USAAAO — 2020 First Round

Knowing that the distance between the Sun and Uranus is 2.87 × 10⁹ km and Uranus’ rotation period is 17h 14 min, determine the approximate amount of time that the Sun is above the horizon for an observer on Uranus in the following situations: I. At the South pole. II. At latitude 30°5′ N when the declination of the Sun is 10° N. [Wording and choice C updated to correct errors in the original exam.]