If a clock started at noon, then the angle turned by hour hand at 3.45 PM is
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If a clock started at noon, then the angle turned by hour hand at 3.45 PM is
- A.
117 1°/2
- B.
104 1°/2
- C.
97 1°/2
- D.
112 1°/2
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Show answer & explanation
Correct answer: D
Key idea: the hour hand moves 30° every hour.
Find elapsed time from noon to 3:45 PM: 3 hours 45 minutes = 3 + 45/60 = 3.75 hours = 15/4 hours.
Multiply elapsed hours by hour-hand rate: (15/4) × 30° = 225/2°.
Convert to mixed number or decimal: 225/2° = 112 1/2° = 112.5°.
Answer: 112 1/2° (112.5°)