Correct option is C
Step 1: Formula for the Angle Between Hour and Minute Hands
The formula for the angle between the hour and minute hands is:
Angle = | (30 × H - 5.5 × M) |
where:
- H = Hour
- M = Minutes
Step 2: Substituting the Values
At 11:00, H = 11 and M = 0. Substituting into the formula:
Angle = | (30 × 11 - 5.5 × 0) |
Angle = | (330 - 0) |
Angle = 330°
Step 3: Adjust for Acute Angle
The clock face is circular, and the largest angle possible is 360°. The smaller angle between the hands is:
Acute Angle = 360° - 330° = 30°
Final Answer
The angle between the hour and minute hands at 11 O'clock is 30°
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