SOLUTION: what is the measure of the angle formed by the hands of a clock at 10:20?. It is not 180 .What fraction of a complete cycle has the big hand moved since 10? .Hasn't the little hand

Question 452465: what is the measure of the angle formed by the hands of a clock at 10:20?. It is not 180 .What fraction of a complete cycle has the big hand moved since 10? .Hasn't the little hand moved that same fraction of the way from 10 to 11?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
It would be 180 if the hour hand stayed the same. However, the little hand travels 1/3 of 1/12 of a circle (1/36 of a circle) which is 10 degrees. Here, we have to subtract 10 degrees to take this into account, which means the angle formed is 170 degrees.
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