Multiple choice

What is the angle at which hands of a clock are inclined at 15 minutes past 5?

  1. 69.5 ^ 0

  2. 68.5 ^ 0

  3. 67.5 ^ 0

  4. 70.5 ^ 0

  5. 77 5 ^ 0
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

At 5:15, the minute hand is at 90 degrees from the 12 o'clock position. The hour hand moves 0.5 degrees per minute, so at 5:15, it is at 5 * 30 + 15 * 0.5 = 157.5 degrees. The difference is 157.5 - 90 = 67.5 degrees.

AI explanation

Using the clock angle formula, where the angle equals the absolute value of 30 times the hours minus 5.5 times the minutes, we substitute the values for 5:15. The calculation is the absolute value of 30 times 5 minus 5.5 times 15, which equals 150 minus 82.5. The hands of the clock are inclined at 67.5 degrees.

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