Multiple choice

Find the angle between the hour and minute hands of a clock at 5:55 p.m.

  1. 150°

  2. 152.5°

  3. 155.5°

  4. 125.5°
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 5:55, the minute hand is at 11 (55 minutes). The hour hand is at 5 + 55/60 = 5 + 11/12 = 71/12. The angle of the minute hand from 12 is 55 * 6 = 330 degrees. The angle of the hour hand from 12 is (71/12) * 30 = 177.5 degrees. The difference is |330 - 177.5| = 152.5 degrees.

AI explanation

Using the clock angle formula of 30H minus 5.5M, we substitute H as 5 and M as 55. This gives 150 minus 302.5, resulting in a negative value of 152.5, so the angle is 152.5 degrees.

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