Question
Find the angle between hour-hand and minute-hand in a clock at : twenty past seven
✓
Answer
At 7 : 20 the minute -hand is at mark 4 and hour -hand has crossed $(\frac{1}{3})$rd of angle between 7 and 8.
Angle between two consecutive marks
=$\frac{360^{\circ}}{12}$= 30°
Angle traced by hour-hand in 20 minutes
=$(\frac{1}{3})$(30°) (30°)= 10°
Angle between marks 4 and 7 = 3 x 30° = 90°
Angle between two hands of the clock at twenty past seven = 90° – 10° = 100°.
Angle between two consecutive marks
=$\frac{360^{\circ}}{12}$= 30°
Angle traced by hour-hand in 20 minutes
=$(\frac{1}{3})$(30°) (30°)= 10°
Angle between marks 4 and 7 = 3 x 30° = 90°
Angle between two hands of the clock at twenty past seven = 90° – 10° = 100°.
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