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If you look at a clock and the time is 3:15, what is the
angle between the hour and the minute hands
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Answer / indar
the ans = 7.5
Logic :
* Every 1 hr the hour hand moves 30 degrees
* And for minute hand moves 90 degrees in every 15 mins
So, counting from 12:00 o'clock, at 3:15 the minute hand
would be at 90 degrees and the hour hand would be at 3*30 +
30/4 = 97.5 (Note- 1hr is divided into four 15mins.)
So at 3:15 the Difference in angle is 97.5 - 90 = 7.5
Degrees
| Is This Answer Correct ? | 80 Yes | 4 No |
Answer / kumar rohit
oops!
At 3:15 it will be counted as 6+3/2 degrees i.e. 7.5
degrees.(according to above logic)
| Is This Answer Correct ? | 41 Yes | 4 No |
Answer / chandresh
- Every 1 hr the hour hand moves 30 degrees (360 % 12 hours)
- Every 1 min the hour hand moves ½ degrees (30 % 60 mins)
So, at 3:15 the minute hand would be at 90 degrees and
the hour hand would be at 3 hours * 30 o + 15 mins * ½ o =
97.5 degrees
Difference in angle is 97.5 - 90 = 7.5o Degrees
| Is This Answer Correct ? | 13 Yes | 2 No |
Answer / ankit
the correct formula to find angle is 30*hour11/2*minutes
here hour =3, minutes=15 so answer is 30*3-11/2*15=7.5
| Is This Answer Correct ? | 10 Yes | 2 No |
Answer / clarity
First convert all to a common unit of time:
1 hour = 60 min
1 min = 1min
Next determine how long it takes each hand to go once
around the clock (i.e., 360 degrees)
Hour-hand = 12 hours = 720min (i.e., 12*60)
Minute-hand = 1 hour = 60min
Next determine how many degrees each hand moves per minute
Hour-hand = 360/720 = 0.5 degrees/min
Minute-hand = 360/60 = 6 degrees/min
Next determine the displacement of each hand from zero
degrees after 3 hours and 15 minutes (assuming that both
hands started at zero degrees (i.e. 12 o’clock))
3 hours and 15 minutes = 195 min
Hence
Hour-hand = 195 * 0.5 = 97.5degrees
Minute-hand = 15 * 6 = 90 degrees
**Note: remember that this is the displacement from 12
o’clock and the minute hand restart from 12 o’clock every
hour
Finally calculate the difference in degrees between the two
hands.
97.5 – 90 = 7.5 degrees
| Is This Answer Correct ? | 7 Yes | 1 No |
Answer / s.venkata bheemachar
Solution:
The total angle made by the minute hand during an hour is 360o. If it takes 360o for an hour, it will take 40/60 *360= 240o. The angle between the hour hand the minute hand will therefore, be somewhere between 240 - 90 = 150o, as the hour hand is between 3 and 4.
The angle made by the hour hand when it moves from say 3 to 4 will be 30o. That is the hour hand makes 30o during the course of an hour.
The hour hand will therefore, move 40/60 *30= 20o.
Therefore, the net angle between the hour hand and the minute hand will be 150 - 20 = 130o.
| Is This Answer Correct ? | 2 Yes | 9 No |
Answer / alex
The answer is 360 degrees ! How the can u have 7.5 degree angle between 2 things that lie on the same line ?? u gotta b stupid ! seriously .
| Is This Answer Correct ? | 7 Yes | 35 No |
Answer / kumar rohit
6 degrees.
It is like this:
Rule:-Difference b/w every hour is 30 degrees.
and every hour is divided in 5 parts.
at 3:15 the angle will be: 30/5=6.
| Is This Answer Correct ? | 5 Yes | 51 No |
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