Multiple choice

Find the angle between the hands of the clock when the time is 10:30.

  1. 160∘

  2. 120∘

  3. 180∘

  4. 135°
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D Correct answer
Explanation

At 10:30, the minute hand is at 6 (180 degrees). The hour hand moves 0.5 degrees per minute. At 10:00, it is at 300 degrees. In 30 minutes, it moves 15 degrees. Position = 300 + 15 = 315 degrees. Angle = 315 - 180 = 135 degrees.

AI explanation

Using the standard clock angle formula, Angle = 30H - 5.5M, we substitute the hour as 10 and the minutes as 30. This gives the calculation 30(10) - 5.5(30), resulting in 300 - 165 = 135 degrees.

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