Monday Morning Braintease: clock hands
Monday again, shit.
If you look at a clock and the time is 9:45, what is the angle between the hour and the minute hands?
Show thought process.
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7.5
22.5 degrees.
The hour hand moves 30 degrees each hour (360/12), if 3/4 of an hour has passed the hand has moved 22.5 from 9. the minute hand is on the 9.
Thanks for these btw.
And yeh, it's 22.5.
The minute hand runs at 360/60 = 6 degrees/min The hour hand runs at 360/24*60 = 0.5 degrees/min
At 9 am ,the minute hand is exactly at position 9 and hour hand exactly at 12,In 45 minutes :
the hour hand would have moved 45*.5 =22.5 degrees in those 45 minutes. So the answer is 22.5 degrees.
at 9:45 exactly, the minute hand is 3/4 of its way around the clockface, i.e. 270 degrees
the hour hand is at 9 hours + 75% of one hour, aka 9.75 hours.
(9.75/12 )*360 = 292.5 degrees
remove the 270 and we get 22.5.
For those that got less, this is not the same as 3.15.
^^^^^^Why over-complicate it? You dont get more points.
Please calculate the angle between hour hand and second hands at 9:37:23 using your approach smartass : )
Correct me if I'm wrong but that wasn't the question, and so you're saying you apply the same arbitrary formula to every question regardless of complexity? Good luck with that.
I say that knowing concept is important and not just the solution.A right approach with sound concepts is always better than shortcut to solution.
I agree, it's better to know how to calculate the problem from a nuts and bolts approach rather than, as the first poster did, memorize the answer from another similar problem. But throughout you've assumed I didn't use a method similar to yours, I may have just chosen to condense it into it's simplest easiest form.
I think this is the formula we can use to calculate the angle
Let X be Hours Y be Mins.
ANGLE = 30X - (11/2)Y For 9:45 angle
309 - (11/2)45 = 270-247.5 Angle= 22.5 degrees.
I have to wait another half-hour to answer this question.
JP Morgan S&T loves that one.
Cupiditate dignissimos non ipsam quasi ea. Quis omnis tempore eum alias. Ut quo ea est eum commodi deleniti dignissimos temporibus.
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