Question

how many times are the hands of a clock at right angles in a day?​

Answer 1

Answer:

I guess 8 times.

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Answer 2

If you switch to a rotating coordinate system in which the hour hand stands still, then the minute hand makes only 11 revolutions, and so it is at right angles with the hour hand 22 times. In a 24 hour day you get 2×22=44. More mathematically, it can be done as : The minute hand moves 360 degrees in 60 minutes.

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