What will be the acute angle between the hour-hand and the minute-hand at 2:13…
2024
What will be the acute angle between the hour-hand and the minute-hand at 2:13 p.m?
- A.
16.5°
- B.
18°
- C.
13.5°
- D.
11.5°
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Show answer & explanation
Correct answer: D
Step 1: Find each hand's angle measured from 12 o'clock.
Minute hand: 13 × 6° = 78°.
Hour hand: 2 × 30° + 13 × 0.5° = 60° + 6.5° = 66.5°.
Step 2: Take the absolute difference to get the angle between the hands.
Angle = |78° − 66.5°| = 11.5°.
Answer: 11.5° is the acute angle between the hour hand and the minute hand at 2:13 p.m.