Find the angle traced by the hour hand of a correct clock between 10 a.m. and 3:44 p.m. on the same day.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 172°
The hour hand goes round the dial (360°) in 12 hours, so it moves 30° every hour, that is, half a degree every minute. The angle it traces depends only on the time that passes.
Time from 10 a.m. to 3:44 p.m. \(=\) 5 h 44 min \(=5\times60+44=344\) min
Angle traced \(\displaystyle =344\times\frac{1}{2}=172^\circ\)
