Final answer:
To find out how many degrees the minute hand moves from 5:36 to 7:19, calculate the total time passed and then multiply by 6 degrees per minute. The answer is 618 degrees.
Step-by-step explanation:
To determine how many degrees the minute hand on a clock moves from 5:36 to 7:19, we start by calculating the total number of minutes between these two times. Firstly, from 5:36 to 6:00 there are 24 minutes, and from 6:00 to 7:00 there is an entire hour which is 60 minutes. From 7:00 to 7:19 there are 19 additional minutes, summing up to 24 + 60 + 19 = 103 minutes in total.
We know that a clock's minute hand completes a full 360-degree rotation every hour, which is 60 minutes. This means that each minute corresponds to 360 degrees / 60 minutes = 6 degrees. Hence, over 103 minutes, the minute hand would travel 103 minutes × 6 degrees/minute = 618 degrees.