What is the angle between the hands of the clock when it shows 26 minutes past 5?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 7°
Both hands are measured in degrees clockwise from 12. The minute hand turns 6° a minute (360° in 60 minutes); the hour hand turns 30° an hour, that is 0.5° a minute, so it is moving on from the 5 as the minutes pass.
Minute hand at 26 minutes: \(26\times6=156^\circ\)
Hour hand at 5:26: \(5\times30+26\times0.5=150+13=163^\circ\)
Angle between them: \(163^\circ-156^\circ=7^\circ\)
