Find the angle traced by the hour hand of a clock between. 5 15 AM and...
Angle Traced by Hour Hand of a Clock
To find the angle traced by the hour hand of a clock, we need to use the formula:
Angle traced by hour hand = (30h + 0.5m) degrees
Calculating the Angle Between 5:15 AM and 12:00 PM
Let's first calculate the angle between 5:15 AM and 12:00 PM:
Angle traced by hour hand from 5:15 AM to 12:00 PM:
(30 x 5 + 0.5 x 15) degrees = 157.5 degrees
Calculating the Angle Between 12:00 PM and 5:45 PM
Now, let's calculate the angle between 12:00 PM and 5:45 PM:
Angle traced by hour hand from 12:00 PM to 5:45 PM:
(30 x 5 + 0.5 x 45) degrees = 172.5 degrees
Calculating the Total Angle Traced
To get the total angle traced, we need to add the angles calculated in the previous steps:
157.5 degrees + 172.5 degrees = 330 degrees
Conclusion
The angle traced by the hour hand of a clock between 5:15 AM and 5:45 PM is 330 degrees.