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A Clock shows 7 a.m. Through how many degrees has the hour hand-turned by 1 p.m. on the same day?
- a)150°
- b)180°
- c)200°
- d)270°
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A Clock shows 7 a.m. Through how many degrees has the hour hand-turne...
7 a.m. is directly opposite of 1 p.m.
Angle travelled by hour hand = 180°
Alternate method:
number of hours between 7a.m. and 1p.m. = 6
degrees travelled by hour hand in 1 hour = 30o
required answer = 6 X 30 = 180o
Most Upvoted Answer
A Clock shows 7 a.m. Through how many degrees has the hour hand-turne...
Answer:
To determine the number of degrees the hour hand has turned from 7 a.m. to 1 p.m., we need to calculate the angular displacement.
Angular Displacement of the Hour Hand:
The hour hand completes a full revolution (360°) in 12 hours. This means that in 1 hour, the hour hand moves (360° / 12) = 30°.
Calculating the Angular Displacement:
To calculate the angular displacement from 7 a.m. to 1 p.m., we need to determine the number of hours that have passed and then multiply it by the angular displacement per hour.
1 p.m. is 6 hours after 7 a.m., so the angular displacement is calculated as follows:
Angular Displacement = Number of Hours x Angular Displacement per Hour
= 6 hours x 30°/hour
= 180°
Therefore, the hour hand has turned 180° by 1 p.m. on the same day.
Conclusion:
The correct answer is option 'B' - 180°.
To determine the number of degrees the hour hand has turned from 7 a.m. to 1 p.m., we need to calculate the angular displacement.
Angular Displacement of the Hour Hand:
The hour hand completes a full revolution (360°) in 12 hours. This means that in 1 hour, the hour hand moves (360° / 12) = 30°.
Calculating the Angular Displacement:
To calculate the angular displacement from 7 a.m. to 1 p.m., we need to determine the number of hours that have passed and then multiply it by the angular displacement per hour.
1 p.m. is 6 hours after 7 a.m., so the angular displacement is calculated as follows:
Angular Displacement = Number of Hours x Angular Displacement per Hour
= 6 hours x 30°/hour
= 180°
Therefore, the hour hand has turned 180° by 1 p.m. on the same day.
Conclusion:
The correct answer is option 'B' - 180°.
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A Clock shows 7 a.m. Through how many degrees has the hour hand-turned by 1 p.m. on the same day?a)150°b)180°c)200°d)270°Correct answer is option 'B'. Can you explain this answer?
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