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What is the number of degrees in the acute angle formed by the hands of a clock at 6:50?

 Jun 13, 2021
 #1
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The angle is 138 degrees.

 Jun 13, 2021
 #2
avatar+35057 
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Hour hand at 6 oclock is at 180 degrees  (past 12)   then moves anothe 1/2 dgree per minute and is at

                                  180 + 50 (1/2) = 205 degrees

 

The minute hand move 6 degrees per minute past the 12 position and is at

                                     50 * 6 = 300 degrees

 

the angle between them is    300 - 205 = 95 degrees    (which is NOT an acute angle !!)

 Jun 13, 2021
 #3
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You're correct! But in less than a minute, both hands form a 90º angle. At what exact time does it occur?

civonamzuk  Jun 14, 2021
edited by Guest  Jun 14, 2021

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