Find the angle between the hour hand and the minute hand of a clock when the time is 3.25.
Answer
Answer (as printed):
Explanation
Angle traced by the hour hand in 12 hours $=360^{\circ}$. Angle traced by it in 3 hrs 25 min., i.e. $\frac{41}{12} \mathrm{hrs}=\left(\frac{360}{12} \times \frac{41}{12}\right)^{\circ}=102 \frac{1}{2}^{\circ}$. Angle traced by minute hand in 60 min. $=360^{\circ}$. Angle traced by it in 25 min. $=\left(\frac{360}{60} \times 25\right)^{\circ}=150^{\circ}$. $\therefore$ Required angle $=\left(150^{\circ}-102 \frac{1}{2}^{\circ}\right)=47 \frac{1}{2}^{\circ}$.
Explanation as extracted from the printed page; notation may be imperfect.