The Arctic and Antarctic aren't cold just because they're far from the equator—it's a double whammy of geometry and orbit.
Axial Tilt (23.5°) points the poles away from the sun for half the year each. At the solstices, the sun doesn't rise (or set) at all—months of polar night or midnight sun. Even in summer, the sun skims low, spreading its energy over a vast oblique angle. Result: weak heating.
Distance matters less than angle, but the poles are marginally farther from the sun (by ~0.0001 AU at aphelion)—a rounding error. The real driver is albedo: ice reflects 80–90% of incoming radiation, creating a feedback loop. Cold begets ice begets reflection begets cold.
Antarctica adds elevation (3,000 m average) and continental isolation—no warm ocean currents. The Arctic has the Atlantic's heat conveyor, so it's "only" -34°C average winter vs. -60°C on the high plateau.
Bottom line: tilt spreads sunlight thin; ice bounces what little arrives. The poles are Earth's thermal sinks by physics, not just geography.