Multiple choice

A clock is showing 5.45, what angle is there between hour hand and the minute hand this time?

  1. 112.5o

  2. 97.5o

  3. 110.5o

  4. 95.5o

  5. 111.5o

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 5:45, the hour hand is at 5.75 hours from 12 = 5.75 × 30 = 172.5 degrees. The minute hand at 45 minutes is at 45 × 6 = 270 degrees. The angle between them is |270 - 172.5| = 97.5 degrees. Formula: |30H - 5.5M| = |150 - 247.5| = 97.5.