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If a clock shows 5:00, what is the angle between the hour and minute hand?

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Question: If a clock shows 5:00, what is the angle between the hour and minute hand?

Options:

  1. 150 degrees
  2. 180 degrees
  3. 120 degrees
  4. 90 degrees

Correct Answer: 150 degrees

Solution: 

At 5:00, the hour hand is at 150 degrees (5 hours * 30 degrees) and the minute hand is at 0 degrees. The angle between them is |150 - 0| = 150 degrees.

If a clock shows 5:00, what is the angle between the hour and minute hand?

Practice Questions

Q1
If a clock shows 5:00, what is the angle between the hour and minute hand?
  1. 150 degrees
  2. 180 degrees
  3. 120 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If a clock shows 5:00, what is the angle between the hour and minute hand?
  • Step 1: Understand that a clock has 12 hours and each hour represents 30 degrees (360 degrees / 12 hours).
  • Step 2: Calculate the position of the hour hand at 5:00. Multiply the hour (5) by 30 degrees: 5 * 30 = 150 degrees.
  • Step 3: Determine the position of the minute hand at 5:00. At the top of the hour (0 minutes), the minute hand is at 0 degrees.
  • Step 4: Find the angle between the hour hand and the minute hand. Subtract the position of the minute hand from the position of the hour hand: |150 - 0| = 150 degrees.
  • Clock Angles – Understanding how to calculate the angle between the hour and minute hands of a clock based on their positions.
  • Degrees Calculation – Applying the formula for calculating the position of the hour and minute hands in degrees.
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