Question

What point of the earth is closest to the moon?

Answer 1

Assumption; Earth is a sphere. The point on a sphere nearest to an outside point is on the radial line, from the center to the external point. The moon's orbital plane is inclined to the ecliptic ( the Earth's orbital plane) at $5.145$ deg, nearly. Our equator is inclined to the ecliptic at $23.4$ deg, nearly. So the locus of the point closest to the moon is a great circle touching latitude circles $28.5$ deg N and 28.5 deg S, nearly. It really becomes a project, for spheroidal Earth. Anyway, it is a good question. I mean 'What point of Earth ...?'.