Final answer:
The maneuver for non-trauma cases that requires a head-tilt and chin-lift is known as the Head-tilt, chin-lift maneuver, used to open the airway of an unconscious individual.
Step-by-step explanation:
The maneuver used for non-trauma cases involving head-tilt and chin-lift is the Head-tilt, chin-lift maneuver. This technique is crucial in first aid to open the airway of a person who is unconscious but is not suspected of having a spinal injury. To perform this maneuver, one must carefully tilt the head back by placing one hand on the forehead and lifting the chin with the other hand, which helps to straighten the airway and allows for proper ventilation.