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What is the angle between the minute hand and hour hand at time 45 minutes past 7’O clock?
- a)37(2/3) Degree
- b)38(1/2) Degree
- c)37(1/2) Degree
- d)36(1/2) Degree
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
What is the angle between the minute hand and hour hand at time 45 min...
To find the angle between hour hand and minute hand, when minute hand is ahead of the hour hand. We use formula
The formula is,
= 30((M/5) – H) – (M/2)
= 30((45/5) – 7) – (45/2)
= 30( 9 – 7) – (45/2)
= 60 – (45/2)
= (120 – 45)/2
= 75 / 2
= 37(1/2) Degree
Hence, the angle between the minute hand and hour hand at time 45 minutes past 7’O clock is 37(1/2) Degree
Most Upvoted Answer
What is the angle between the minute hand and hour hand at time 45 min...
To determine the angle between the minute hand and hour hand at 45 minutes past 7, we need to find the positions of the minute hand and hour hand on the clock.
In a standard 12-hour clock, the minute hand completes a full rotation every 60 minutes or 360 degrees. Therefore, for 45 minutes, the minute hand will have moved (45/60) * 360 degrees = 270 degrees.
The hour hand completes a full rotation every 12 hours or 720 minutes, which means it moves (45/720) * 360 degrees = 22.5 degrees for 45 minutes.
At 45 minutes past 7, the hour hand will have moved (7 * 60 + 45) * (360/720) = 292.5 degrees.
The angle between the minute hand and hour hand is the difference in their positions, which is |270 - 292.5| = 22.5 degrees.
Therefore, the angle between the minute hand and hour hand at 45 minutes past 7 is 22.5 degrees.
In a standard 12-hour clock, the minute hand completes a full rotation every 60 minutes or 360 degrees. Therefore, for 45 minutes, the minute hand will have moved (45/60) * 360 degrees = 270 degrees.
The hour hand completes a full rotation every 12 hours or 720 minutes, which means it moves (45/720) * 360 degrees = 22.5 degrees for 45 minutes.
At 45 minutes past 7, the hour hand will have moved (7 * 60 + 45) * (360/720) = 292.5 degrees.
The angle between the minute hand and hour hand is the difference in their positions, which is |270 - 292.5| = 22.5 degrees.
Therefore, the angle between the minute hand and hour hand at 45 minutes past 7 is 22.5 degrees.
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What is the angle between the minute hand and hour hand at time 45 minutes past 7’O clock?a)37(2/3) Degreeb)38(1/2) Degreec)37(1/2) Degreed)36(1/2) DegreeCorrect answer is option 'C'. Can you explain this answer?
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