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Find all integers n such that when the clock strikes n o'clock, the acute angle between the hour and minute hands is 90 degrees. Enter your answer as a comma-separated list.

 Sep 19, 2021
 #1
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3 o'clock and 9 o'clock

 Sep 19, 2021
 #2
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Find all integers n such that when the clock strikes n o'clock, the acute angle between the hour and minute hands is 90 degrees. Enter your answer as a comma-separated list.     

 

When the clock striks the hour, then the minute hand is pointing at the 12.  

The positions that the hour hand can be in to make a 90o angle are at the 3 or the 9.  

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 Sep 19, 2021
 #3
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< the acute angle between the hour and minute hands is 90 degrees >   

 

By the way, "acute angle" is defined as an angle that measures less than 90 degrees. 

Guest Sep 19, 2021

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