Final answer:
The angle that the minute hand turns from 5 to 2 on a clock is 270 degrees, which is calculated by multiplying the 9 hours span by 30 degrees per hour.
Step-by-step explanation:
The angle of rotation that the minute hand of a clock makes as it moves from 5 to 2 can be determined by first understanding that each hour on a clock represents 30 degrees, as there are 12 hours and a full circle is 360 degrees (360 degrees divided by 12 hours equals 30 degrees per hour). Since the minute hand moves from the 5 to the 2, it covers 3 hours (5 o'clock to 4, 4 o'clock to 3, 3 o'clock to 2). Therefore, to calculate the total angle, we multiply the number of hours by the degrees per hour: 3 hours × 30 degrees/hour equals 90 degrees. However, because the question asks the angle from 5 to 2, which actually covers a span of 9 hours, we should calculate it as follows: 9 hours × 30 degrees/hour equals 270 degrees. Thus, the correct choice is not listed among the options provided.