Final answer:
If dispatched to a hillside rescue without proper training, call for specialized help, maintain visual contact with the victim, and provide detailed information to the rescue teams without endangering yourself.
Step-by-step explanation:
If you are dispatched to a rock climber injured on a very steep hillside and you are not trained in this type of rescue, the correct action is to immediately call for specialized rescue services. As you wait for trained personnel to arrive, try to maintain a visual on the victim and provide location details to the responders. It's important to avoid putting yourself in danger, as this could potentially lead to more victims requiring rescue.
Ensure to relay any important information to the rescue teams, such as the conditions of the injury, the terrain, and the climber's location. Remember, the safety of both the victim and responder is the top priority.