USAAAO — 2023 First Round

Billions of years from now, as the Moon moves farther away from the Earth, the Earth's axial tilt may become unstable. Imagine the Earth's tilt is such that the angle between the celestial equator and the ecliptic is 60°, rather than the current 23.44° - so the Arctic Circle is now as far south as 30° North. For an observer at 40° North, how many days out of the year would the Sun never set (also known as the =polar day")? (Ignore atmospheric refraction, and assume the Earth's orbit is circular and nothing else has changed from today.)