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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.

 May 21, 2021
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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.     

 

When a clock stricks on the hour, the minute hand has to be on the 12. 

The only two places the hour hand can be to make a 90o angle are on the 3 or the 9

 

edited to add....  The above assumes a 12-hour clock. If it's a 24-hour clock, you can figure it out the same way.    

 May 21, 2021
edited by Guest  May 21, 2021

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