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sloppycanada

  • one year ago

Write 15 degrees 26' 29" using decimal degrees. Round your answer to the nearest thousandth. I don't want someone to do this for me, please explain it to me.

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  1. prizzyjade
    • one year ago
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    that is something you need to use a calculator

  2. prizzyjade
    • one year ago
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    scientific calculator to be exact

  3. sloppycanada
    • one year ago
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    @jim_thompson5910 When you get the chance...

  4. jim_thompson5910
    • one year ago
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    the `26'` means `26 minutes` or `26 arcminutes` the `29" ` means `29 seconds` or `29 arcseconds`

  5. jim_thompson5910
    • one year ago
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    Rules: 1 degree = 60 arcminutes 1 arcminute = 60 arcseconds

  6. jim_thompson5910
    • one year ago
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    sound familiar?

  7. sloppycanada
    • one year ago
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    Yes.

  8. jim_thompson5910
    • one year ago
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    using those rules, we can write `26 arcminutes` as `(26/60) degrees` 60 arcminutes will give you a full degree. So 26 arcminutes is going to be a fraction (smaller than 1) of a degree

  9. jim_thompson5910
    • one year ago
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    1 degree = 60 arcminutes 1 arcminute = 60 arcseconds means 1 degree = 60*60 = 3600 arc seconds so `29 arcseconds = (29/3600) degrees`

  10. sloppycanada
    • one year ago
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    Do I divide?

  11. sloppycanada
    • one year ago
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    That would be .008

  12. jim_thompson5910
    • one year ago
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    so, 15 degrees 26' 29" = (15 degrees) + (26/60 degrees) + (29/3600 degrees) 15 degrees 26' 29" = (15 + 26/60 + 29/3600) degrees 15 degrees 26' 29" = ??? degrees

  13. sloppycanada
    • one year ago
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    15.441

  14. jim_thompson5910
    • one year ago
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    yeah I'm getting 15.4413888888889

  15. sloppycanada
    • one year ago
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    If I were to round that to the nearest thousandth, it's be 15.440

  16. jim_thompson5910
    • one year ago
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    15.441 actually

  17. sloppycanada
    • one year ago
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    Alright, the next thing asks me to change the 29 to 9. so it'd be 15 degrees 26' and 9"

  18. sloppycanada
    • one year ago
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    Would that just be 15.436?

  19. jim_thompson5910
    • one year ago
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    looks good 15 + 26/60 + 9/3600 = 15.4358333333333 ---> 15.436

  20. sloppycanada
    • one year ago
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    45 degrees 9' 30"

  21. sloppycanada
    • one year ago
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    45 + 9/60 + 30/3600 = 45.158

  22. jim_thompson5910
    • one year ago
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    looks good \[\color{red}{45} \text{ degrees}, \color{blue}{9} \text{ minutes}, \color{green}{30} \text{ seconds} = (\color{red}{45} + \color{blue}{9}/60 + \color{green}{30}/3600) \text{degrees}\]

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