Multiple choice

What is the angle between the two hands of a clock when the time is 5.15 a.m.?

  1. 72.5°

  2. 67.5°

  3. 64.5°

  4. 58.5°
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 5:15, the minute hand is at 3 (90 degrees from the top). The hour hand moves 0.5 degrees per minute. At 5:15, it is at 5 * 30 + 15 * 0.5 = 150 + 7.5 = 157.5 degrees from the top. The angle between them is |157.5 - 90| = 67.5 degrees.

AI explanation

Using the clock angle formula, the angle is calculated as 30 times the number of hours minus 5.5 times the number of minutes. Substituting the values for 5.15 gives 30 times 5 minus 5.5 times 15, which results in 150 minus 82.5. The difference between the hands is 67.5 degrees.

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