Under what condition is an aircraft required to offset during a landing approach?

An aircraft is required to offset during a landing approach primarily when directed by the controller. Air traffic control has the responsibility to manage the safe and efficient movement of aircraft during their approach and landing phases. If a controller issues instructions for an aircraft to offset, it is typically due to traffic management, ensuring a safe separation between aircraft, or accommodating other operational needs at the airport.

In this context, the other conditions provided do not mandate an offset for landing approaches. The altitude being above 5,000 feet doesn’t necessarily require an offset; rather, the pilot's ability to properly descend and align with the runway is key. If there are no visible runways, the aircraft may need to enter a missed approach procedure rather than simply offsetting. Lastly, a pilot's judgment about the need to offset might arise from specific circumstances, but such a decision does not carry the same authority or requirement as a directive from air traffic control. Thus, the correct condition that obligates an offset is when it is explicitly directed by the controller.