Adding Degrees Minutes Seconds

In summary, the conversation is about adding three sets of degrees, minutes, and seconds together. The total is initially calculated as 358 degrees, 228 minutes, and 63 seconds. However, one user points out that the total for minutes is incorrect and should be 119. After dividing the seconds and minutes by 60, the final answer is determined to be 360 degrees, 4 minutes, and 5 seconds.
  • #1
coolguy16
15
0
OP has been warned not do delete his post after receiving helpful replies

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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  • #2
12 + 56 + 51 isn't 228.
 
  • #3
Wow thank you. It's been a long day. Can't believe i missed that. Lol
 
  • #4
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
 
  • Like
Likes SammyS

FAQ: Adding Degrees Minutes Seconds

What is the purpose of converting degrees, minutes, and seconds into decimal degrees?

Converting degrees, minutes, and seconds into decimal degrees allows for easier and more accurate calculations and comparisons of angles and coordinates. It also simplifies the representation of geographic data in mapping and navigation systems.

How do you convert degrees, minutes, and seconds into decimal degrees?

To convert degrees, minutes, and seconds into decimal degrees, first convert minutes into decimal form by dividing the number of minutes by 60. Then, convert seconds into decimal form by dividing the number of seconds by 3600. Finally, add the decimal minutes and decimal seconds to the original degrees to get the decimal degrees.

Is there a difference between positive and negative values in decimal degrees?

Yes, positive values in decimal degrees represent locations in the northern and eastern hemispheres, while negative values represent locations in the southern and western hemispheres. It is important to remember the direction of the coordinate system when using decimal degrees.

Can decimal degrees be converted back into degrees, minutes, and seconds?

Yes, decimal degrees can be converted back into degrees, minutes, and seconds by first separating the decimal degrees into whole number and decimal parts. The whole number will represent the degrees, the decimal part multiplied by 60 will represent the minutes, and the decimal part of the minutes multiplied by 60 will represent the seconds.

What are some common uses for converting degrees, minutes, and seconds into decimal degrees?

Some common uses for converting degrees, minutes, and seconds into decimal degrees include mapping and navigation systems, astronomy, and geocaching. It is also useful for converting and comparing coordinates in different coordinate systems.

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