What will be the angle between the hour hand & the minute hand of a clock when time is 5:36 am?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 48°
Measure the position of each hand from 12, clockwise. The minute hand turns 360° in 60 minutes, that is 6° a minute. The hour hand turns 30° for each hour and, in between, keeps moving at 0.5° a minute (30° in 60 minutes). The angle between the hands is the difference of the two positions.
Minute hand at 36 minutes: \(36\times6=216^\circ\)
Hour hand, 5 hours and 36 minutes past 12: \(5\times30+36\times0.5=150+18=168^\circ\)
Angle between them: \(216-168=48^\circ\)
