Q. What will be the angle between the hands of clock at 7 : 10?
✅ Correct Answer: (D)
165°
Explanation: angle traced by hour hand per minute = (1/2)°
∴ angled traced by hour hand in 8 h 30 min =[(8×60)+30x1/2]°
= [480+30×1/2]o°= 510 × (1/2)° = 255°
∴ Angle traced by minute hand per minute = 6°
∴ Angle traced by minute hand in 30 min = 30 × 6° = 180°
∴ required angle = (255° - 180°) = 75°
∴ angled traced by hour hand in 8 h 30 min =[(8×60)+30x1/2]°
= [480+30×1/2]o°= 510 × (1/2)° = 255°
∴ Angle traced by minute hand per minute = 6°
∴ Angle traced by minute hand in 30 min = 30 × 6° = 180°
∴ required angle = (255° - 180°) = 75°
Explanation by: Tina Singh
angle traced by hour hand per minute = (1/2)°
∴ angled traced by hour hand in 8 h 30 min =[(8×60)+30x1/2]°
= [480+30×1/2]o°= 510 × (1/2)° = 255°
∴ Angle traced by minute hand per minute = 6°
∴ Angle traced by minute hand in 30 min = 30 × 6° = 180°
∴ required angle = (255° - 180°) = 75°
∴ angled traced by hour hand in 8 h 30 min =[(8×60)+30x1/2]°
= [480+30×1/2]o°= 510 × (1/2)° = 255°
∴ Angle traced by minute hand per minute = 6°
∴ Angle traced by minute hand in 30 min = 30 × 6° = 180°
∴ required angle = (255° - 180°) = 75°