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Math Question

dustinf | Posted in General Discussion on November 13, 2008 09:36am

How do I add, or subtract, angles long hand without a calculator?

I tried to google a solution with no luck.

Example:

59deg 37′ 18″ – 40deg 43′ 22″

or

13deg 31′ 27″ + 64deg 12′ 48″

 

It’s not too late, it’s never too late.

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Replies

  1. gstringe | Nov 13, 2008 09:44pm | #1

    Well, there are 60 minutes in a degree, and 60 seconds in a minute, so
    then it just becomes like adding or subtracting time on a clock. OR
    you can convert your angle deg,min,sec to decimal here: http://www.geology.enr.state.nc.us/gis/latlon.html

    Nobody gets in to see the wizard...not nobody...not no how!
    1. dustinf | Nov 13, 2008 11:44pm | #5

      So:

      59 deg 37' 18" - 40 deg 43' 22"= 18 deg 53' 56"

      and

      13 deg 31' 27" + 64 deg 12' 48" = 77 deg 44' 15" 

      The ' symbol would read minutes, and the " would read seconds?

      If I ever learned this I have no memory of it.  I'm studying a sample journeyman's test for the carpenters union, and these are the only problems I couldn't solve.It's not too late, it's never too late.

      1. gstringe | Nov 14, 2008 01:37am | #20

        You got it.Nobody gets in to see the wizard...not nobody...not no how!

  2. Scarecrow | Nov 13, 2008 10:19pm | #2

    same way you do with time.  If borrowing from one column remember how many sec or min in a deg.

     

    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    If an opinion contrary to your own makes you angry, that is a sign that you are subconsciously aware of having no good reason for thinking as you do.... Bertrand Russell

    http://www.drawingwithlight.smugmug.com

    1. pm22 | Nov 13, 2008 11:21pm | #3

      But if you add the same way you do time, then you will end up with hours instead of degrees.

      ~Peter

      1. DanH | Nov 13, 2008 11:25pm | #4

        Yeah, and don't forget to correct for the time zone!
        The only function of economic forecasting is to make astrology look respectable. --John Kenneth Galbraith

      2. Scarecrow | Nov 13, 2008 11:56pm | #9

        Is that with or without daylight savings?

         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

        If an opinion contrary to your own makes you angry, that is a sign that you are subconsciously aware of having no good reason for thinking as you do.... Bertrand Russell

        http://www.drawingwithlight.smugmug.com

  3. JoeBartok | Nov 13, 2008 11:45pm | #6

    59deg 37' 18" - 40deg 43' 22"

    Subtract 60” (= 1’) from 37’ and add it to the 18”

    Subtract 60’ (= 1°) from 59° and add it to the 36’

    58deg 96' 78" - 40deg 43' 22"

    78” – 22” = 56”

    96’ – 43’ = 53’

    58° – 40° = 18°

    Answer: 18° 53’ 56”

     

    13deg 31' 27" + 64deg 12' 48"

    48” + 27” = 75” … since we have greater than 60” = 1’, 75” – 60” = 15”, and carry the 1’

    31’ + 12’ + 1’ = 44’

    13° + 64° = 77°

    Answer: 77° 44’ 15”

    Joe Bartok
  4. Framer | Nov 13, 2008 11:51pm | #7

    Are you looking for something like this?

    http://www.youtube.com/watch?v=2_4pkdDmXsA

     

    Joe Carola
    1. dustinf | Nov 13, 2008 11:54pm | #8

      Thanks Joe, but I don't have any speakers on this computer. 

      I know, I'm a loser.It's not too late, it's never too late.

      1. Framer | Nov 14, 2008 12:09am | #12

        What are you trying to use it for?Joe Carola

        1. dustinf | Nov 14, 2008 12:17am | #13

          The math, or the computer?

          The math is for a journeyman carpenter test.  I'm trying to skip the apprenticeship program, and join as a journeyman.  They have a sample test online, and these two problems were the only 2 I couldn't figure out.  The math test is one hour, the rest of the test is a hands on deal.  Not sure what to expect really, I'll know tomorrow for sure, when it's over.It's not too late, it's never too late.

          1. natedaw | Nov 14, 2008 12:22am | #14

            good luck on the test. I'll be writing mine next week.

          2. dustinf | Nov 14, 2008 11:41pm | #24

            It went well.  The head instructor told me that I would be offered a journeyman's card.  It's unofficial until Monday when I talk to my counsel rep, but good to know over the weekend.

            The math part of the written exam was really basic compared to the sample test.  The only parts of the written exam I struggled with were the hand signs for the rigging part, and some of the more technical concrete form questions.  I was pretty comfortable with everything else.

            The 8 hands on tests were a joke really.  Basic stuff, like how to cut a rafter to the proper length, a 3 step stringer layout, framing some steel studs with welded door frame openings, crown molding, some basic circular saw stuff, layout a 16' bottom plate for wood framing, and layout out a story pole for an 8' wall.It's not too late, it's never too late.

          3. User avater
            FatRoman | Nov 15, 2008 12:04am | #25

            Well done. Congrats!Make sure you get a little celebrating in this weekend.'Man who say it cannot be done should not interrupt man doing it' ~ Chinese proverb

            View Image

          4. dustinf | Nov 21, 2008 12:16am | #26

            Thanks.It's not too late, it's never too late.

          5. Framer | Nov 14, 2008 12:24am | #15

            I was talking about the math. Anyway, good luck tomorrow.

             Joe Carola

  5. User avater
    jonblakemore | Nov 13, 2008 11:58pm | #10

    I created a worksheet to translate degrees/minutes/seconds into decimal degrees. As luck would have it, I had to use this worksheet just about two hours ago while sitting in the home of a potential client to translate some surveyor's documents to AutoCAD.

    It's nothing fancy, but if I'm drawing a site plan I like to convert all angles to decimal and then plug the lines in ACAD.

     

    Jon Blakemore

    RappahannockINC.com Fredericksburg, VA

    1. [email protected] | Nov 14, 2008 03:02am | #21

      John, AutoCad lets you do them direct.  Let me know what version you are using, and I can give you instructions. 

       

      1. User avater
        jonblakemore | Nov 14, 2008 03:40am | #22

        What do you know.ACAD '07 LT 

        Jon Blakemore RappahannockINC.com Fredericksburg, VA

        1. [email protected] | Nov 14, 2008 06:38am | #23

          The trick is the @ or relative command, and the < or angle.

          If you are on a point, the @ command moves you relative to where you are. 

          If you type in @40<45d34'52", during a command that wants the next point, will make the next point 40 units away, at an angle of 45-degrees, 34-minutes, and 52-seconds. 

          I'm using Land Desktop, so I can use length and bearing or azimuth. 

  6. User avater
    PeteDraganic | Nov 14, 2008 12:02am | #11

    let me explain my understanding in simple terms.

    Deg is figured from a cycle of 360 degrees. 10 deg + 14 deg is obviously 24 deg.  it can never exceed 360 nor be less than 0.  so 20 deg - 30 deg would be 350 deg (10 below zero is actually 10 off of the 360 for a complete cycle.

    adding should be similar.  270 deg + 100 deg would not be 370... it would be 10 (10 more than the max of 360).

    as for minutes and seconds... they are based on cycles of 60, just like on a clock.  however, the difference would be that you carry or take away one from the higher group foir every cycle exceed or receeded.

    so, 20' 40" + 20' 30" would be 41' 10"

    hope that made sense and furthermore, I hope I am right.

     

    I refuse to accept that there are limitations to what we can accomplish.        Pete Draganic

     

    Take life as a test and shoot for a better score each day.          Matt Garcia

    1. pm22 | Nov 14, 2008 12:30am | #16

      Are these degrees Fahrenheit or Centigrade?

      ~Peter

      1. DanH | Nov 14, 2008 12:32am | #17

        Masonic.
        The only function of economic forecasting is to make astrology look respectable. --John Kenneth Galbraith

      2. Scarecrow | Nov 14, 2008 12:35am | #18

        cartesian or polar?

         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

        If an opinion contrary to your own makes you angry, that is a sign that you are subconsciously aware of having no good reason for thinking as you do.... Bertrand Russell

        http://www.drawingwithlight.smugmug.com

        1. DanH | Nov 14, 2008 12:51am | #19

          Bipolar.
          The only function of economic forecasting is to make astrology look respectable. --John Kenneth Galbraith

    2. pm22 | Nov 24, 2008 04:05am | #27

      so, 20' 40" + 20' 30" would be 41' 10"

      NO! Totally wrong.You're dealing with feet and inches here.

      First of all, it should be 23' 4" + 22' 6". Thus the correct answer would be 45' 10".

      ~Peter

      1. DanH | Nov 24, 2008 04:08am | #28

        You've got the dimensions wrong -- it's furlongs and rods.
        The mark of the immature man is that he wants to die nobly for a cause, while the mark of a mature man is that he wants to live humbly for one. --Wilhelm Stekel

      2. User avater
        PeteDraganic | Nov 24, 2008 07:41am | #29

        You are pulling my leg, I hope.

        <!----><!----><!----> 

        I refuse to accept that there are limitations to what we can accomplish.        Pete Draganic

         

        Take life as a test and shoot for a better score each day.          Matt Garcia

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