Question

At what time between 5 and 6 o clock the hands of a clock will make an angle of 18 degree

Answer 1

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At 5:m, the hour hand is between 5 and 6 m minutes, and it makes an angle = 5*30 +m*30/60 = 150 +0.5m deg from 12. m = 132/5.5 = 24 min, So at 5:24 the hour and minute hands make an angle = 18 deg between them.

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