can an equasion or formula be created for this senerio?

Discussion in 'Differential Equations' started by Blindman60, Apr 14, 2022.

  1. Blindman60

    Blindman60

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    Hi, my name is blindman60,and I was wonderring if any of you intelectuals could write an equasion for me ???
    I would like to know;
    If a tree is x feet away from a powerline
    and the powerline is fifty feet high
    how tall would the tree have to be to come within five feet of striking the powerline
    if the tree were to fall directly toward the line (at a 90 degree angle)

    It just seemed like this was the place to go for an answer to this puzzle, since I do not have the ability or the smarts to figure it out on my own.
     
    Blindman60, Apr 14, 2022
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  2. Blindman60

    MathLover1

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    upload_2022-4-14_18-12-49.gif

    this image would help you to imagine right triangle made of falling tree , height of the powerline, and distance of the tree from powerline
    falling tree will represent hypothenuse, in your case h (height of the tree)
    height of the powerline will represent one leg, in your case 45ft (recall the tree have to be to come within five feet of striking the powerline)
    and distance of the tree from powerline will represent other leg, in your case x

    then, using Pythagorean theorem,

    h^2=x^2+45^2
    h=sqrt(x^2+45^2)
     
    MathLover1, Apr 15, 2022
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  3. Blindman60

    nycmathguy

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    How did you make the cartoon image?
     
    nycmathguy, Apr 16, 2022
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  4. Blindman60

    MathLover1

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    found it online :)
     
    MathLover1, Apr 16, 2022
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  5. Blindman60

    nycmathguy

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    Ok. I am now working on the limit of the signum function and greatest integer function aka floor function and also step function. Look for my answers through the night.
     
    nycmathguy, Apr 16, 2022
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  6. Blindman60

    Blindman60

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    thanks mathlover1, so could you check this for me to mke sure that I understand? If the tree is 60 feet from the powerline it would have to be 77.6208 tall approx. to come within 5 feet of striking line?
     
    Blindman60, Apr 18, 2022
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  7. Blindman60

    MathLover1

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    If the tree is 60 feet from the powerline

    upload_2022-4-18_17-53-21.gif
    upload_2022-4-18_17-53-31.gif
    it would have to be 75 ft tall to come within 5 feet of striking line
     
    MathLover1, Apr 18, 2022
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  8. Blindman60

    nycmathguy

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    Creating equations from written passages is a skill worth having in life. I don't think there is anything more important in terms of mathematics. In addition to my college algebra and calculus self-study, lots of word problems will be posted. Unsolved word problems will be copied and pasted from other math sites including algebra.com.
     
    nycmathguy, Apr 19, 2022
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  9. Blindman60

    Blindman60

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    ok I could not open those, but I think I get it now. thanks again mathlover1, you have helped me out immensellllly!
     
    Blindman60, Apr 19, 2022
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  10. Blindman60

    MathLover1

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    attachments:
    h=sqrt(60^2+45^2)
    h=75ft
     
    MathLover1, Apr 19, 2022
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  11. Blindman60

    nycmathguy

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    Wow! You also know differential equations. Pretty cool.
     
    nycmathguy, Apr 20, 2022
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