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If a clock shows 2:30 PM, how many degrees has the hour hand moved clockwise from 12:00 PM?
- a)45 degrees
- b)90 degrees
- c)135 degrees
- d)180 degrees
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If a clock shows 2:30 PM, how many degrees has the hour hand moved clo...
Explanation:
To determine the number of degrees the hour hand has moved clockwise from 12:00 PM to 2:30 PM, we need to calculate the angle between the hour hand and the 12 o'clock position.
Step 1: Calculate the total number of hours between 12:00 PM and 2:30 PM.
There are 2 hours and 30 minutes between 12:00 PM and 2:30 PM.
Step 2: Calculate the fraction of a full circle that represents the elapsed time.
Since a clock has 12 hours in a full circle, we can calculate the fraction of the circle that represents the elapsed time by dividing the total number of hours by 12.
2 hours ÷ 12 hours = 1/6
Step 3: Calculate the number of degrees in a full circle.
A full circle is 360 degrees.
Step 4: Calculate the number of degrees the hour hand has moved.
To find the number of degrees the hour hand has moved, we multiply the fraction of the circle by the number of degrees in a full circle.
(1/6) * 360 degrees = 60 degrees
Therefore, the hour hand has moved 60 degrees clockwise from 12:00 PM to 2:30 PM.
To determine the number of degrees the hour hand has moved clockwise from 12:00 PM to 2:30 PM, we need to calculate the angle between the hour hand and the 12 o'clock position.
Step 1: Calculate the total number of hours between 12:00 PM and 2:30 PM.
There are 2 hours and 30 minutes between 12:00 PM and 2:30 PM.
Step 2: Calculate the fraction of a full circle that represents the elapsed time.
Since a clock has 12 hours in a full circle, we can calculate the fraction of the circle that represents the elapsed time by dividing the total number of hours by 12.
2 hours ÷ 12 hours = 1/6
Step 3: Calculate the number of degrees in a full circle.
A full circle is 360 degrees.
Step 4: Calculate the number of degrees the hour hand has moved.
To find the number of degrees the hour hand has moved, we multiply the fraction of the circle by the number of degrees in a full circle.
(1/6) * 360 degrees = 60 degrees
Therefore, the hour hand has moved 60 degrees clockwise from 12:00 PM to 2:30 PM.
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Community Answer
If a clock shows 2:30 PM, how many degrees has the hour hand moved clo...
In 60 minutes, the hour hand moves 30 degrees. At 2:30 PM, it has moved 2.5 hours * 30 degrees/hour = 75 degrees. However, it's 135 degrees clockwise from 12:00 PM.
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