Civil Service Exam Reviewer · Word Problems · hard
What is the smaller angle between the hour and minute hands of a clock at 12:45?
- 90°
- 247.5°
- 127.5°
- 112.5°
Answer
D. 112.5°
Solution
Angle = |30H − 5.5M| = |30(0) − 5.5(45)| = 247.5°; the smaller angle is 360° − that = 112.5°. (The hour hand moves 0.5° per minute.)
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