Question

What is the measure of the angle between the hour and minute hand at 3:30 assuming the hour hand slowly moves as time goes by

Answer 1

Explanation:

Angular speed of hour hand = 30degree / hour. =0.5 degree/minute. In 30 minutes , the angle swept by hour hand is 30*0.5 = 15 degree. At 3:30 , the minute hand is at number 6. At 3:00 the hour hand was at number 3. Now it has moved 15 degree. Hence the angle between the two is ( 90 -15) = 75 degree.