Question
Find the angle between hour-hand and minute-hand in a clock at : 10:10
✓
Answer
At 10:10, the minute-hand is at mark 2 and hour-hand has crossed $(\frac{1}{6})$th between 10 and 11.
Angle between two consecutive marks
$\frac{360^{\circ}}{12}$ = 30°
Angle traced by hour-hand in 10 minutes
= $(\frac{1}{6})$(30°) = 5°
Angle between marks 10 and 2= 4 x 30° = 120°
… Angle between two hands of the clock at 10:10
= 120° – 5°= 115°
Angle between two consecutive marks
$\frac{360^{\circ}}{12}$ = 30°
Angle traced by hour-hand in 10 minutes
= $(\frac{1}{6})$(30°) = 5°
Angle between marks 10 and 2= 4 x 30° = 120°
… Angle between two hands of the clock at 10:10
= 120° – 5°= 115°
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