How to find angle...

bertus

Joined Apr 5, 2008
22,266
Hello,

It depends if you want to compensate for the hour hand, as it shifts a tiny bit every second.
That is how a mechanical clock works.
The minute hand makes 6 degrees every minute.

Bertus
 

Thread Starter

RRITESH KAKKAR

Joined Jun 29, 2010
2,829
A clock shows the time as 12.20. What is the angle the hour hand makes with the minutes hand?

The question is exactly what is the Angle now..


upload_2015-12-30_19-50-15.png
 

bertus

Joined Apr 5, 2008
22,266
Hello,

I made a mistake in post #5.
When the hour hand makes a 30 degrees move in an hour, it will make a move of 10 degrees in 20 minutes.

Bertus
 

Thread Starter

RRITESH KAKKAR

Joined Jun 29, 2010
2,829
When the hour hand makes a 30 degrees move in an hour, it will make a move of 10 degrees in 20 minutes.

How?
There is total 360 if anything go circle/round ...
the answer is 110 degree why?
 

hexreader

Joined Apr 16, 2011
581
Draw the analogue clock on a sheet of paper, but instead of the 12 hours, mark the 12 divisions in degrees, starting with 0 degrees at the top.

The answer should become obvious if you remember to think carefully.

Hint - the hour hand does not point to 0 degrees

Over to you....
 

Ramussons

Joined May 3, 2013
1,396
When the hour hand makes a 30 degrees move in an hour, it will make a move of 10 degrees in 20 minutes.

How?
There is total 360 if anything go circle/round ...
the answer is 110 degree why?
The hour hand goes 360 degrees in 12 hours => 30 degrees /hour => 10 degrees in 20 minutes.
The minute hand does 360 degrees in 60 minutes => 120 degrees in 20 minutes.

=> angle between the hands = (120 - 10) = 110 degrees.
 

hexreader

Joined Apr 16, 2011
581
Look at a real analogue clock and see where the hands are at 12:20. Think about why the hands are where they are. Draw what you see and then work out the angle between hands.

Play around with an analogue clock for a while adjusting the time manually and think about what is happening.

Can't think what else to suggest.
 

Thread Starter

RRITESH KAKKAR

Joined Jun 29, 2010
2,829
The Smaller hour hand goes to Top 12hour
The bigger is at 4 because it is 20 min
The right angle i.e. 12 hour hand and 15 min is 90 degree , plus more 5 min

What else to do with it?
 

hexreader

Joined Apr 16, 2011
581
The Smaller hour hand goes to Top 12hour - wrong - go and find a real clock and study it
The bigger is at 4 because it is 20 min - correct

Study a real clock and then try again
 
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