Summersnow8
  • Summersnow8
What is the degree measure of the angle between two hands of the clock at precisely 3:30AM?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Summersnow8
  • Summersnow8
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anonymous
  • anonymous
what do you think
Summersnow8
  • Summersnow8
i tried solving it plugging into a certain equation, but it didnt work. I tried |dw:1370107349585:dw|

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More answers

ganeshie8
  • ganeshie8
use this instead :- each hour = 30 degrees
phi
  • phi
If the hour hand were pointing directly at the 3, you would have 90º but the hour hand is exactly half way between 3 and 4
anonymous
  • anonymous
degrees between two successive digits is 30 e.g. between 4 and 5
Summersnow8
  • Summersnow8
none of this is helping.... i know that exact times are usually 90 degrees, but i dont know how to use them.....
phi
  • phi
think of it like this |dw:1370107617175:dw| but the hour hand has moved a little bit, so the angle is less than 90º
Summersnow8
  • Summersnow8
yea, i understand, but how do i use that information to solve for the question?
phi
  • phi
|dw:1370107680294:dw|
anonymous
  • anonymous
75 degree.
Summersnow8
  • Summersnow8
okay, but what equation do I solve to figure that out, because i dont know the side lengths
anonymous
  • anonymous
because, the hour hand moves 30 degree in 60 mins ( (360/12)=30 degree) so it will move 15 degree towards the minute hand in 30 mins.
phi
  • phi
People have told you the hour hand moves 30º in 1 hour (360º - the whole way round - in 12 hours) you have to figure out how far the hour hand moved in 1/2 of an hour
Summersnow8
  • Summersnow8
so would i divide 30 degrees by 2 because that would be equivalent to 1/2 and hour?
phi
  • phi
yes, that is a good idea
Summersnow8
  • Summersnow8
i dont understand why I need to know how fast the hour hand moves in a half an hour, my brain obviously doesn't work this way lol!! I am more science. I don't understand where i go from there then....
anonymous
  • anonymous
Lol!
Summersnow8
  • Summersnow8
thanks for laughing
phi
  • phi
You start with this idea: if the hour hand pointed at the 3, and the minute hand pointed at the 6, the angle between them is 90º
phi
  • phi
but at 3:30 the hour hand is not pointing at the 3 (it is pointing half way between the 3 and 4) but the minute hand is pointing at the 6 so the angle is 90 minus some amount how much should you subtract from the 90 degrees ?
Summersnow8
  • Summersnow8
|dw:1370108320876:dw|
Summersnow8
  • Summersnow8
I guess I wil never know...... I give up.
anonymous
  • anonymous
what is S and C in your equation?
Summersnow8
  • Summersnow8
i dont understand that way @tcarroll010
phi
  • phi
75 is the correct answer
Summersnow8
  • Summersnow8
S stands for arc length and C stands for circumference, but i guess it does't apply here
Summersnow8
  • Summersnow8
there is no way I will be able to answer a question like that if I see it because I dont understand the process how you get the answer... anyway.... sorry for wasting all of your time. I must be stupid..... thanks for helping :/
anonymous
  • anonymous
it does
anonymous
  • anonymous
C is 12 corresponding to 12 hours
anonymous
  • anonymous
S is 2.5 corresponding to arc length
anonymous
  • anonymous
there!
Summersnow8
  • Summersnow8
how did u get 2.5
anonymous
  • anonymous
one hand is between 3 and 4 i.e. 3.5 other is at 6 6 - 3.5 = 2.5 bngo!
phi
  • phi
This is a question about adding or subtracting angles You start with this problem: hour hand pointing at the 3, minute hand pointing at the 6 Do you know the angle between the 2 hands ? (this could be answered by common sense) or you could say: hour hand is at 3 hours , so 3*30= 90º minute hand is at 6 hours, so 6*30= 180º the difference is 180-90 = 90
anonymous
  • anonymous
@phi : the hour hand isnt at 3.
phi
  • phi
for your problem, you can use the same idea the hour hand is at 3 and 1/2 hours, 3.5, so 3.5*30= 105 degrees the minute hand is at 6 hours, so 6*30= 180 deg the difference is 180-105= 75
anonymous
  • anonymous
As we know that the if hour hand moves 30 degree and then minute hand moves 360 degree. we use this relation. Suppose its 3 A.M. the angle made by hour hand and minute hand is 90 degrees. At 3:30 A.M. the minute hand moves 90 degree so the hour hand move is given by above relation. this means that if minute hand moves i degree then hour hand moves by (1/12) degree then from 3 A.M. to 3:30 A.M.. The minute hand moves by 180 degree then hour hand moves by 180*(1/12) =15 degree. Then the angle made between hour hand and minute hand is (90-15)=75 degrees
Summersnow8
  • Summersnow8
i am a visual learner.... trying to type it out wont help. I should just close this question because I don't understand. thanks for all of your time.
anonymous
  • anonymous
wait, i ll upload a photo for u
anonymous
  • anonymous
does this help
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Summersnow8
  • Summersnow8
yeah that makes sense.
anonymous
  • anonymous
finally! :)

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