Shai Gar's Math Challenge 3 | INFJ Forum

Shai Gar's Math Challenge 3

Discussion in 'Science and Technology' started by Shai Gar, Jun 25, 2009.

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  1. Shai Gar

    Shai Gar Guest

    It's been a while since I provided one of these, so here you go...

    [​IMG]
     
  2. gloomy-optimist

    gloomy-optimist Used to live here

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    Well, I did some thinkin' for a couple minutes, then realized that I'm on summer vacation and really don't feel like it. But, if I'm not incorrect (which it is pretty likely I am), E is 60 degrees, D = C, and G and F could be found using some equations based on the ASA theorem once the rest is found.
     
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  3. Milon

    Milon Director of Glomps
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    Specific answers, rounded to 1 decimal place:
    A = Center of Regular Equilateral Pentagram
    B = 10cm
    C approx 12.4 cm
    D approx 14.8 cm
    E = 72 degrees
    F approx 22.8 cm
    G approx 23.9 cm

    General Results (trig functions in degrees):
    C = B / (cos(36.5))
    D = 2B * tan(36.5)
    E = 72 degrees
    F = B * tan(36.5) * tan(72)
    G = B * tan(36.5) / cos(72)
    :D

    I is nerd!
     
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    #3 Milon, Jun 25, 2009
    Last edited: Jun 25, 2009
  4. Faye

    Faye ^_^
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    I just realized I don't remember geometry. Oh well, too bad.
     
  5. OP
    Shai Gar

    Shai Gar Guest

    Cheers Milon. Good one.
     
  6. OP
    Shai Gar

    Shai Gar Guest

    Where do you get the 36.5?
     
  7. Milon

    Milon Director of Glomps
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    Whoops! That should be 36, my bad!

    360 degrees in a circle (around point A). If you draw segment B from A to each edge, and segment C from A to each vertex, you'll get 10 identical right triangles surrounding point A. So that angle is 360 / 10 = 36. I don't know how, but I screwed up an initial calculation and got 73 degrees somewhere, which led to 36.5... My bad.
     
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  8. OP
    Shai Gar

    Shai Gar Guest

    Yeah... because 36 was the angle I had when I was designing the challenge.
     
  9. flux

    flux Community Member

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    The answer is three. That is all.
     
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  10. daydreamer

    daydreamer Permanent Fixture

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    My geometry teacher taught me S***
     
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  11. Faye

    Faye ^_^
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    Don't worry you forget it all anyway.
     
  12. Milon

    Milon Director of Glomps
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    I absolutely LOVED geometry at the college level! :D You know - right after calculus. hehe
     
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  13. midnightmelody

    midnightmelody nagging for truth

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    I was good at geometry, but I haven't the memory for math. And it's not abstract enough for the likes of me haha
     
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  14. Sithious

    Sithious Well-known member

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    [​IMG]
     
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  15. arbygil

    arbygil Passing through

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    ABSOLUTELY YES. ^^THIS.

    I haaaaaate math. Never did geometry in high school, never did trig, just barely got by on college algebra and basic calc.

    NO MORE WIRE MATH HANGERS!!!
     
  16. Cecilff2

    Cecilff2 Emancipator of Poultry

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    Here you go. Math with Abstract right in its title

    http://en.wikipedia.org/wiki/Abstract_algebra
     
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  17. VH

    VH Variable Hybrid

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    My thought process:

    I start with Introverted Intuition.

    First I take a look at the diagram, and deduce the following in a very short amount of time. (which might be a bad idea considering the diagram does not visually represent to scale what it is implying, but for guesstimations seem close enough).

    G > F > C > D > B

    G has to be greater than F because it would angle out past it if rotated.

    C seems greater than D which looks greater than B, assuming this diagram isn't as far enough off to cause a misread.

    G doesn't look to be more than triple B, and might not even be double B.

    Therefore, all the measurement variables are between 10 and 30.

    Extroverted Feeling then assesses the need for a more specific answer.

    If I simply needed to rule out a possible answer above 30 or below 10, then my work is done.

    Otherwise, I would proof my work with my Ti and more accurate Se assuming a specific answer was important. However, the problem appears to have already been solved, so my Fe sees no reason to expend the effort.

    That's how my mind works. Ni to Fe then Ti and Se.
     
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    #17 VH, Jul 24, 2009
    Last edited: Jul 24, 2009

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