When traveling on a bearing of 24 degrees and making a right turn of 90 degrees, you add 90 degrees to the initial bearing.
In this case, starting at 24 degrees, you perform the following calculation:
24 degrees + 90 degrees = 114 degrees.
This new bearing reflects a change in direction that is 90 degrees clockwise from the original heading. Therefore, the correct new bearing after the turn is 114 degrees. Understanding this concept of directional bearings is crucial in navigation within Search and Rescue operations, as precise direction can significantly influence the efficiency and effectiveness of locating and assisting individuals in need.