Adding Degrees Minutes Seconds

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The discussion focuses on the addition of angles expressed in degrees, minutes, and seconds. The initial calculation resulted in an incorrect total due to a miscalculation of minutes. After correcting the addition, the total angles were recalculated to 360 degrees, 4 minutes, and 5 seconds. The importance of converting seconds to minutes and minutes to degrees was emphasized to arrive at the correct answer. The final result confirms the proper handling of angle addition in this format.
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Homework Statement



(42°12'13'')+(59°56'15'')+(257°51'35'')

Homework Equations

The Attempt at a Solution


42°12'13''
59°56'15''
257°51'35''
--------------
358°228'63''
+3° +1' -60''
---------------
361°229'3''
-180'
---------------
361°49'3''

The answer is 360°0'3''
Where did I go wrong?
 
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12 + 56 + 51 isn't 228.
 
Wow thank you. It's been a long day. Can't believe i missed that. Lol
 
Please don't delete your post:
add these together:
deg = 42 mins= 12 secs= 13
deg = 59 mins= 56 secs= 15
deg =257 mins= 51 secs= 35
totals:
deg =358 mins=119 secs=305
Divide seconds by 60 -> that result is added to minutes, with remainder in seconds
we get 5 minutes and 5 seconds leftover
deg =358 mins=124 secs=5
Divide minutes by 60 -> that result is added to degrees, with remainder in minutes
we get 2 degrees and 4 minutes leftover
deg =360 mins=4 secs=5
 
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