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

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

Options:

Correct Answer: 150 degrees

Solution:

At 5:00, the hour hand is at 150 degrees (5*30) and the minute hand is at 0 degrees (0*6). The angle between them is |150 - 0| = 150 degrees.

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

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

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 5 (the hour) by 30 degrees. This gives you 150 degrees.
Step 3: Understand that the minute hand at 0 minutes is at the top of the clock, which is 0 degrees.
Step 4: Find the angle between the hour hand and the minute hand by subtracting the position of the minute hand from the position of the hour hand. This is |150 - 0|.
Step 5: Calculate the absolute difference, which is 150 degrees.

Clock Angles – Understanding how to calculate the angles 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.