Final answer:
NEC 430.102 requires that both a motor (I) and its controller (II) must have a disconnecting means, and it should be 'in sight' from both the motor and controller locations.
Step-by-step explanation:
The National Electric Code (NEC) 430.102 addresses the requirements for disconnecting means for motors and motor controllers. According to NEC 430.102, both a motor (I) and the motor's controller (II) must have a disconnecting means. Furthermore, this disconnecting means should be located in sight from the motor location and the controller location.
The term 'in sight' means visible and not more than 50 feet (15.24 meters) from the controller or motor location. This allows for quick disconnection for safety or service reasons. Therefore, the correct answer to the question is III. Both I and II.