Mathematical Challenge | INFJ Forum

Mathematical Challenge

Discussion in 'Science and Technology' started by Shai Gar, Nov 12, 2008.

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  1. Shai Gar

    Shai Gar Guest

    Okay, the external lines form up to become a perfect Pentagon.
    You are to find the dimensions asked for.

    A is given as 200kilometers.

    [​IMG]
     
  2. Quinlan

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    42 for all of them.
     
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  3. SgtBlankee

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    ugh is this uni stuff? I figure it has to go along with breaking it down with pythagorean theorem but probably not now that I look at it more.

    I think J equals 6000km2 the 2 is squared

    e=108
     
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    #3 SgtBlankee, Nov 12, 2008
    Last edited: Nov 12, 2008
  4. ZenCat

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    oooo purty pentagram
     
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  5. Wyote

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    Ah the golden ratio. Simple problem really, but I don't have a scientific calculator on me and no way I'm spending time on this cuz I hate math.
     
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  6. OP
    Shai Gar

    Shai Gar Guest

  7. IndigoSensor

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    Oh I know how to do this, actually very easy (I like geometry!). Lots of pthagorean therom and sin cos tan stuff! ...but my quackulator died so I will do it once I can get new batteries. Not to mention it is like 6am, and I am running off 2 hours of sleep.

    Me: Ok time to do some trigonometry!
    Brain: Trig? Oh no you don't! You did not give me enough sleep! Now where is that "dumb blonde" button... ah! *push* :bump2:
    Me: ok so its sin(108/3......) ...errrrrrrpplllhhhhh... OH LOOK! SHINY OBJECT!!! YAY!!!!1! *runs across room* :bounce:
     
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    #7 IndigoSensor, Nov 16, 2008
    Last edited: Nov 16, 2008
  8. NaeturVindur

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    WARNING!! SPOILER BELOW!!
    A=200
    B=323.6
    C=123.0
    D=76.0
    E=29.0
    F=161.7

    (these are in degrees)
    G=36
    H=108
    I=72

    J=68819.1

    Like I said, I'm a math geek.
     
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  9. OP
    Shai Gar

    Shai Gar Guest

    looks like time for a harder math challenge.
     
  10. NaeturVindur

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    Here's one: An army jeep left its base at 12 noon for a destination 300 miles distant across a flat terrain. The jeeps average rate the first hour was 40 mph, during the second hour 45 mph, during the third 50 mph, ect. At 1:40 pm, a helicopter, traveling at a uniform rate of 75 mph, set out to over take the jeep. At what time did the helicopter reach the jeep?
     
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  11. Seeker

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    Convert the shit to real units and I might try to solve it

    *mumbles about stupid people using stupid units*
    :m080:
     
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  12. NaeturVindur

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    units don't matter, :mno: you'd get the same answer if you convert all the distances to km, and all speeds to kmph.
     
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  13. ohmermaid

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    it looks like the top of a cut diamond

    :m168:
     
  14. just me

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    250 miles out at 5 PM I would guess, given constant directions.
     
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  15. just me

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    250 miles out at 5 PM I would guess, given constant directions.

    edit to add given no time change zones were crossed.
     
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  16. just me

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    Of course, if the jeep stopped to take a bathroom break.........:hungry:
    or to eat......or both....
    or....
     
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    The helicopter will reach the jeep at 5:00pm.

    The helicopter will reach the base at 5:40pm, the jeep will reach the base at ~5:46:09.23pm.
     
  18. just me

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    Eye level will be at 60 inches above sea level at each end.
    Location: on the ocean where nothing is between both sets of eyes
    Conditions: calm; no wind
    What is the greatest distance, in linear feet, one set of eyes can look toward the horizon
    and see the other set of eyes?
     
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  19. IndigoSensor

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    I hate math so I am not going to solve it with numbers, but this is how (I assume) you solve it.

    Figure out the curvature of the earth, and take a tangential point to the surface, and see how long out the line goes before it is 5 feet from the surface. Using sin, cos, and tan and all that good stuff. The radius of the earth could be related to the unit circle and scaled acordingly.
     
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  20. just me

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    Would a straight line sitting atop a circle help one to get started?
     
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