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Question 62
What is the obtuse angle formed by the hands of a clock when the time in the clock is 2:30?
Solution
Angle between the hands of a clock is given by the formula $$\dfrac{11}{2}H - 30M$$ or $$30M - \dfrac{11}{2}H$$ where H is hours and M is minutes.
Here, Given time = 02 : 30, H = 2 and M = 30.
Angle = $$\dfrac{11}{2} \times 30 - 30 \times 2 = 165 - 60 - 105^\circ$$
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