Any Math Experts Here? | FerrariChat

Any Math Experts Here?

Discussion in 'Health & Fitness' started by jeff, Aug 19, 2015.

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  1. jeff

    jeff Formula 3

    Feb 19, 2001
    1,924
    North America
    I'm trying to figure out the slope, grade etc of some stairs. There are 200 steps. The rise in elevation is 178 feet and the distance is 550 feet. Could someone figure out the slope for me ... 40%, 60% etc.
     
  2. roma1280

    roma1280 F1 Rookie
    Rossa Subscribed

    May 2, 2010
    4,220
    Palm Beach, Roma
    17.93 degrees

    (Tan(theta) = opposite/adjacent) thus theta = tan exp-1 (178/500) = .313 radians or 17.93 degrees)
     
  3. jeff

    jeff Formula 3

    Feb 19, 2001
    1,924
    North America
    That was quick. Thank you very much
     
  4. JasonMiller

    JasonMiller F1 Rookie
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    Jul 16, 2004
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    Jason Miller
    Good God!
     
  5. readplays

    readplays Formula 3

    Aug 22, 2008
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    Dave Powers
    Just curious what kind of stairs have a rise of 10.68 inches and a run of 33 inches(?). Are they for bears or something? :)
     
  6. TexasF355F1

    TexasF355F1 Six Time F1 World Champ
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    Feb 2, 2004
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    English please, Mark!:D

    Ive always been jealous of you math whizzes.
     
  7. JG333SP

    JG333SP Formula 3

    Mar 24, 2010
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    Jim G
    Tell your kids: you go to MIT, you get an f40

    Just kiddin, but if that is your car it sounds like you earned it
     
  8. Statler

    Statler F1 World Champ

    Jun 7, 2011
    17,389
    Health and fitness? (Running up those stairs). :)

    This is highschool mathematics, no?

    Not meaning to insult anyone at all. We forget things we don't use like languages. Am I wrong? Did you guys not do this many many years ago in highschool and just needed a refresher?
     
  9. tazandjan

    tazandjan Three Time F1 World Champ
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    Jul 19, 2008
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    That is the angle, but not the slope. A 45 degree angle gives a 100% slope. In this case the slope is just the rise divided by the height or 178/550 or 32.4% slope.
     
  10. toggie

    toggie F1 World Champ
    Owner Silver Subscribed

    Nov 30, 2003
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    Interesting. I would have thought a 90 degree angle would be a 100% slope, but Taz is correct (again), it is a 45 degree angle.

    It is always great to learn something new.

    https://en.wikipedia.org/wiki/Grade_(slope)

    .
     
  11. vincent355

    vincent355 F1 Veteran
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    Apr 8, 2003
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    Vincent
    Rise over run
     
  12. tazandjan

    tazandjan Three Time F1 World Champ
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    Jul 19, 2008
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    Terry H Phillips
    Vincent- Yup, rise and height are the same thing. Mixed up the terminology, but got the answer correct.
     
  13. AndrewJM

    AndrewJM Formula Junior

    Jun 18, 2012
    383
    Norfolk, VA
    I got 32.36 degrees.

    tan(178/550) = .3354

    tan^-1(.3354) = .32361
     
  14. roma1280

    roma1280 F1 Rookie
    Rossa Subscribed

    May 2, 2010
    4,220
    Palm Beach, Roma
    That's not correct. The answer is tan-1(178/550) = 17.93 degrees not what you have above which is tan-1(tan(178/550)).
     
  15. GuyIncognito

    GuyIncognito Nine Time F1 World Champ
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    Jun 30, 2007
    92,089
    the angle is 17.93 degrees.

    the slope is 32.34 %

    I think some people are confusing terms (I know I did :eek:)
     
  16. smg2

    smg2 F1 World Champ
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    Apr 1, 2004
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    The multivalued function Inverse Tangent written as Tan^-1 x also known as arctan (z). The range of Tan^-1 is -pi/2 to pi/2 or -90~90 degrees.
     
  17. MaseratiCorse

    MaseratiCorse Formula Junior

    Nov 13, 2014
    472
    Melbourne, Australia
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    Nicholas
    Geez Roma are you a structural engineer by any chance?
     

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