+312 At 2:48, what is the degree measure of the smaller angle formed by the hour and minute hands of a 12-hour clock?
For the hour hand :
Each hour (12 of them) covers 30 degrees (360/12 = 30 degrees)
at 2:00 you have covered 60 degrees
Each minute the hour hand moves 1/2 degree (30 degrees / hour x 1 hour/60 min = 1/2 degree)
so at 2 48 the hour hand is at 2*30 + 48 * 1/2 =84 degrees
For the minute hand:
Each minute is 6 degrees (360 degrees x 1 hr/ 60 min = 6 degrees / min)
so at 48 minutes the minute hand is at 48 x 6 = 288 degrees
288 - 84 = 204 degrees
