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how to calculate this on scientific calculator?

179 (degrades)50(minutes)14(sec) - (minus)

119 (degrades)58(minutes)41(sec) 

= ?

 Jul 16, 2014

Best Answer 

 #3
avatar+118723 
+5

Angles are directly related to time (due to the earth rotating on its axis)

they each have 

60 seconds in a minute and

then time has 60 minutes in an hour and

angles have 60 minutes in a degree.

---------------

so 60 secs in a minute 

60 minutes in a degree

60*60=3600seconds in a minute

 Jul 16, 2014
 #1
avatar+33661 
+5

You probably mean "degrees" not "degrades", in which case, one way is to enter 179+50/60+14/3600 - (119+58/60+41/3600) to get the answer in degrees, remembering that there are 60 minutes in a degree and 3600 seconds in a degree.  *Edited to correct number of seconds in degree!

$${\mathtt{179}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{50}}}{{\mathtt{60}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{14}}}{{\mathtt{3\,600}}}}{\mathtt{\,-\,}}\left({\mathtt{119}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{58}}}{{\mathtt{60}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{41}}}{{\mathtt{3\,600}}}}\right) = {\mathtt{59.859\: \!166\: \!666\: \!666\: \!666\: \!7}}$$

This gives 59° plus a bit.  Turn the extra into minutes by multiplying by 60:

$${\mathtt{0.859}}{\mathtt{\,\times\,}}{\mathtt{60}} = {\frac{{\mathtt{2\,577}}}{{\mathtt{50}}}} = {\mathtt{51.54}}$$

This is 51' plus a bit.  Turn the extra into seconds by multiplying by another 60.

$${\mathtt{0.54}}{\mathtt{\,\times\,}}{\mathtt{60}} = {\frac{{\mathtt{162}}}{{\mathtt{5}}}} = {\mathtt{32.4}}$$

This is 32'' to the nearest second.

So the overall result is 59°51'32''

 Jul 16, 2014
 #2
avatar
0

Thnak You Alan for the answer! I understand now the method! Not certain though about the amount of seconds in one degree. I think is 3600 not 360 ? Plz correct me if I am wrong. Once again, thank You for the answer!

 Jul 16, 2014
 #3
avatar+118723 
+5
Best Answer

Angles are directly related to time (due to the earth rotating on its axis)

they each have 

60 seconds in a minute and

then time has 60 minutes in an hour and

angles have 60 minutes in a degree.

---------------

so 60 secs in a minute 

60 minutes in a degree

60*60=3600seconds in a minute

Melody Jul 16, 2014
 #4
avatar+33661 
0

Quite right Anonymous, there are 3600 seconds in a degree, not 360; brain fade on my part I'm afraid!  I've corrected my original post.

 Jul 16, 2014
 #5
avatar+118723 
0

I didn't even notice Alan. 

I was just answering the question as a separate question.

 Jul 16, 2014
 #6
avatar
0

Thank You both for Your answers :) made my work way easier! 

 Jul 17, 2014

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