Read the angle
Algebra
Level
pending
What is the measure of the acute angle(in degrees) between the hour and minute hands of a correctly working clock at 4:18 ?
The answer is 21.
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1 solution
Time = 4 : 18
Hours = 4 + 6 0 1 8 = 4 + 0 . 3 = 4 . 3
Minutes = 1 8
6 0 m i n = 3 6 0 1 m i n = 6 1 2 h r = 3 6 0 1 h r = 3 0
4.3 hours = 4 . 3 × 3 0 = 1 2 9
18 minutes = 1 8 × 6 = 1 0 8
∴ angle = 1 2 9 − 1 0 8 = 2 1