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What is the degree measure of the acute angle formed by the hands of a clock at $3:30$?

 Jan 2, 2024
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Let 12 o'clock represent  0°....let the hands advance in a  positive angular  direction

 

At  3 o'clock   the hour  hand is  at 90°   and the  minute  hand is  at 0°

 

The hour hand  moves   15°   more   in  30 minutes.....so it is at 105°   at 3;30

 

And the minute hand is  at180°    at 3:30

 

So....the acute angle is   180 - 105  =   75°

 

 

cool cool cool

 Jan 2, 2024

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