Question
Find the angle between hour-hand and minute-hand in a clock at : 2:20
✓
Answer
At 2 : 20, the minute-hand is at mark 4 hour hand has crossed $(\frac{1}{3})$rd of the angle between 2 and 3.
Angle between two consecutive marks =$\frac{360^{\circ}}{12}$= 30°
Angle traced by hour-hand in 20 minutes
= $(\frac{1}{3})$(30°)= 10°
Angle between marks 2 and 4 = 2 x 30° = 60°
∴ Angle between two hands of the clock at 2 :20 = 60° – 10° = 50°
Angle between two consecutive marks =$\frac{360^{\circ}}{12}$= 30°
Angle traced by hour-hand in 20 minutes
= $(\frac{1}{3})$(30°)= 10°
Angle between marks 2 and 4 = 2 x 30° = 60°
∴ Angle between two hands of the clock at 2 :20 = 60° – 10° = 50°
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