Both hands of a school clock point to 12 at noon. Through what angle has the hour hand turned by 3:36 p.m. on the same day?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 108°
The hour hand turns 360° in 12 hours: 30° in each hour and 0.5° in each minute.
From 12 noon to 3:00 p.m.: \(3\times30^\circ=90^\circ\)
From 3:00 p.m. to 3:36 p.m.: \(36\times0.5^\circ=18^\circ\)
Total turn \(=90^\circ+18^\circ=108^\circ\)
