What is the maximum distance a motor-driven cycle's headlamp must illuminate while being operated at 35 mph?

The correct answer is based on the requirements set for headlamp illumination for motor-driven cycles. When a motor-driven cycle is operated at a speed of 35 mph, it is crucial that the headlamp has enough illumination distance to ensure safety and visibility.

According to traffic regulations, a headlamp must illuminate a minimum distance of 300 feet to provide adequate visibility for the operator and to alert oncoming traffic. This distance allows a rider to see any potential hazards or obstacles in the road ahead, as well as to be seen by other vehicles, thus enhancing overall road safety.

The other options represent distances that do not meet the minimum requirements for safe operation at that speed. Therefore, the choice of 300 feet as the maximum illumination distance aligns with the safety standards set for motor-driven cycles.