The characteristic shared by a weather satellite and an Earth observing satellite is that they both orbit at high altitudes.
Weather satellites typically operate at altitudes around 36,000 kilometers (in geostationary orbit) or at lower altitudes (polar orbits), while Earth observing satellites may also operate at high altitudes, often ranging from a few hundred kilometers to several thousand kilometers above the Earth's surface.
Therefore, the correct response is:
both orbit at high altitudes