how may times from 4 am to 4 pm the hands of clock are at the right angle?
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At about 11 minutes to 1 o'clock. So every 24 hours there are 44 right angles between minute hand and second hand. The following C code prints out the times of the day (12hr cycle) that the hands make 90degree angles (to the nearest 3 seconds to avoid the need for floating point). It is indeed 44 times.
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at 24 hrs there are 44 right angles. so from 4 am to 4pm it's just 12 hrs.. so we have 44÷2 = 22 right angles...
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