Final answer:
The plane turns by 90° when changing course from 045° to 135° clockwise, calculated by subtracting the initial angle from the final angle: 135° - 45° = 90°. Thus the option b) 90° is correct answer.
Step-by-step explanation:
When the plane changes course from 045° to 135° clockwise, it means it has turned clockwise by 90°. The difference between the two course headings (135° - 45°) gives us the angle through which the plane has turned.
Explanation (180-250 words):
The change in course from 045° to 135° implies a clockwise rotation. To determine the angle through which the plane turns, subtract the initial angle from the final angle: 135° - 45° = 90°. This result indicates a 90° clockwise turn. When the plane shifts its direction, the difference between these two course headings represents the angle of rotation, which in this case is a quarter turn. Visualizing this on a compass, it's akin to moving from northeast (045°) to southeast (135°), signifying a 90° change in direction.
Understanding angles and their measures is crucial in determining rotational movements or changes in direction. In this scenario, the plane's clockwise adjustment reveals a shift of precisely 90°. This angular shift corresponds to a right angle, a significant change in the aircraft's course. It's vital to grasp such angular concepts, especially in navigation or directional changes, as they directly impact the path and orientation of objects in motion.
In trigonometry, angles play a pivotal role in understanding the orientation of objects or movements in a plane. Here, the straightforward calculation (135° - 45°) effectively illustrates the precise degree of change in the plane's course, emphasizing the importance of angular measurement in navigation and directional alterations.