At 2:48, what is the degree measure of the smaller angle formed by the hour and minute hands of a 12-hour clock?

mathleteig Nov 17, 2019

#1**+2 **

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

Guest Nov 17, 2019