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

 Nov 17, 2019
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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  

 Nov 17, 2019

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