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What is the number of degrees in the measure of the smaller obtuse angle formed by the hands of a standard clock at 12:48 pm?

 Jul 23, 2022
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The hour hand moves  at (1/2)°  every minute  

The minute hand  moves 12 times as fast = 6° every minute

 

From  12 Noon....the  hour hand has moved  (1/2)° (48)  = 24°

The minute hand has moved  (6°) (48)  = 288°

 

The larger obtuse angle between them  =  (288 - 24)°  =  264°

 

The smaller obtuse angle between them = (360 - 264)°  = 96°

 

cool cool cool

 Jul 23, 2022

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