Multiple choice

When the time in a clock is 11:30, then the angle between the hands of the clock is x°. Find x.

  1. 324°

  2. 135°

  3. 110°

  4. 165°

  5. 195°

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D Correct answer
Explanation

The angle between clock hands is given by |30H - 5.5M|. For 11:30, this is |30(11) - 5.5(30)| = |330 - 165| = 165 degrees.

AI explanation

Using the clock angle formula, Angle = 30H - 5.5M, we substitute the given values for 11:30. The calculation is 30(11) - 5.5(30), which results in 330 - 165 = 165 degrees.