Question

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

Answer 1

Answer:

44 right angles

Step-by-step explanation:

There are 44 right angles between an hour hand and a minute hand on a clock in a 24 hour period. The reason it's not uniformly twice per an hour (and therefore 48 successes) is due to the second right angle during the 2:00, 8:00, 14:00, and 20:00 pairs occurring directly at the beginning of the following hour

Answer 2

Here is your answer

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.