The angle difference between each of the twelve numbers on the clock is 360/12 = 30 degrees. For sake of argument, let's take the twelve o'clock position to be zero degrees, with degrees counted clockwise.
At 55 minutes past, the minute hand is on the eleven o'clock position. That's at 11 * 30 = 330 degrees.
The hour hand is almost at the 8, but not quite. The time is seven and 11/12th hours after twelve, so the hour hand is at 7 and 11/12th times 30 degrees. That's 237.5 degrees.
The difference between 330 and 237.5 is 92.5 degrees, so at 19:55, the hands are 92.5 degrees apart.
2006-09-06 21:06:26
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answer #1
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answered by Bramblyspam 7
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19:55 is also 7:55 so the minute hand is at 11 and the hour hand is between 7 and 8
one rotation is 360 degrees, there are 12 digits in a clock
so 360 degrees/12=30 degrees
11-7=4
4*30 degrees = 120 degrees
but then the hour hand is in between 7 and 8
so you have to compute for the angle that you have to subtract from 120 degrees:
for every 60 movements of the minute hand there are 5 movements of the hour hand then
12 is to 1
so how far will the hour hand go if the minute hand has already move for 55 times?
55 is to:
55/12
then multiply this for the number of degrees for each movement that is 6 then it would be 27.5 degrees
now, this is distance of the hour hand from 7 so you have to subtract it from 120 degrees:
120 degrees-27.5 degrees= 92.5 degrees
NOTE: If you would encounter a problem like this again, all you have to do is get the distance of the hour hand from the minute hand then multiply it by 30 degrees. It would be your x.
Divide the minute no. by 2
Add this to x if the hour no. is greater than the minute no.
Subtract this from x if the hour no. is less than the minute no.
Ex.
1.) 19:55=7:55
55 is no. 11
11-7=4
4*30=120=x
55/2=27.5
7(hour no.) is less than 11(minute no.)
so...
120-27.5=92.5 degrees
2.) 5:20
20 is 4
5-4=1
1*30=30=x
20/2=10
5 is greater then 4
so...
30+10=40 degrees
2006-09-07 04:56:11
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answer #2
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answered by Lin 2
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If it's a 12 hours analog clock
So, the 19:55 is actually 7:55 in the evening.
The hour hand covers 360 degree in 12 hours
So, in 7 hours it covers, [7 *(360/12)] = 210 degree
Similarly, the minute hand covers 360 degree in 60 mins
So, in 55 mins it covers [55 * (360/60)] = 330 degree
So, the difference between them is, 120 degree
Here it's a 24 hours analog clock
Hour hand covers, [19 * (360/24)] = 285
Minute hand covers, 330 degree (remains same as in 12 hours clock)
So, the difference between them, 45 degree
2006-09-07 04:55:27
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answer #3
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answered by M1976 2
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Compare to 12 o'clock:
long hand: 360 x 7/12 degrees = 210 degrees.
short one: 360 x 55/60 = 330 degrees.
The answer is the difference: 120 degrees.
2006-09-07 06:20:52
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answer #4
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answered by Thermo 6
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Since you specified 19:55 instead of 7:55 I assume you are speaking of a 24-hour clock.
position of the minute hand is 360*55/60 = 330 deg.
position of the hour hand is 360*(19+55/60)/24 = 298.75 deg.
The angle between them is 330-298.75 = 31.25 deg.
If you are talking about a 12-hour clock,
position of the hour hand = 360*(7+55/60)/12 = 237.5 deg.
angle between hands = 92.5 deg.
2006-09-07 04:10:12
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answer #5
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answered by Helmut 7
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80 degrees
2006-09-07 03:56:31
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answer #6
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answered by PAUL F 3
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a bit more than 90 degrees
2006-09-07 04:04:03
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answer #7
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answered by Anonymous
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nearly 90
2006-09-07 04:04:06
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answer #8
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answered by magicmoonha 2
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150 degrees
2006-09-07 03:59:04
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answer #9
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answered by koolkeiff2 3
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I would guess a 45degree angle
2006-09-07 03:57:04
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answer #10
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answered by Anonymous
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