Civil Service Exam Reviewer · Word Problems · hard

What is the smaller angle between the hour and minute hands of a clock at 10:20?

  1. 180°
  2. 190°
  3. 185°
  4. 170°

Answer

D. 170°

Solution

Angle = |30H − 5.5M| = |30(10) − 5.5(20)| = 190°; the smaller angle is 360° − that = 170°. (The hour hand moves 0.5° per minute.)

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