Question 2
The angle between the hour hand and the minute hand of a clock at the time 9.38 pm is
Solution
The minute hand at 38 minutes is at $$38 \times 6^\circ = 228^\circ$$ from the 12 mark. The hour hand is at $$9 \times 30^\circ + 38 \times 0.5^\circ = 270^\circ + 19^\circ = 289^\circ$$. The angle between them is $$289^\circ - 228^\circ = 61^\circ$$.
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