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highschoolmom2010 Group Title

Find the values of w and then x. Round lengths to the nearest tenth and angle measures to the nearest degree.

  • 11 months ago
  • 11 months ago

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  1. highschoolmom2010 Group Title
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    • 11 months ago
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  2. katherine.ok Group Title
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    you have multiple ways. one is to recognize that this is isoceles triangle ( the triangle shape with two equal sides)

    • 11 months ago
  3. highschoolmom2010 Group Title
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    i saw that to begin with

    • 11 months ago
  4. katherine.ok Group Title
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    which makes the right triangle have internal sum of 90+ 42+w= 180.

    • 11 months ago
  5. katherine.ok Group Title
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    or does w mean the height?

    • 11 months ago
  6. highschoolmom2010 Group Title
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    i believe w is height

    • 11 months ago
  7. highschoolmom2010 Group Title
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    im not entirely sure

    • 11 months ago
  8. katherine.ok Group Title
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    then sin42= w/102

    • 11 months ago
  9. katherine.ok Group Title
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    and cos 42= (2/x)/102

    • 11 months ago
  10. katherine.ok Group Title
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    cos42= (x/2)/102****

    • 11 months ago
  11. highschoolmom2010 Group Title
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    \[(102)*\sin 42=\frac{ w }{ 102 }*102\] \[102 \sin 42=w\] w\[\approx 68\]

    • 11 months ago
  12. highschoolmom2010 Group Title
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    so how now that i have found w how do i get x?

    • 11 months ago
  13. katherine.ok Group Title
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    cos42= (x/2)/102

    • 11 months ago
  14. satellite73 Group Title
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    pythagoras

    • 11 months ago
  15. satellite73 Group Title
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    half of \(x\) is \(\sqrt{102^2-68^2}\)

    • 11 months ago
  16. highschoolmom2010 Group Title
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    can i have a fraction in the numerator

    • 11 months ago
  17. satellite73 Group Title
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    so \(x=2\sqrt{102^2-68^2}\)

    • 11 months ago
  18. satellite73 Group Title
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    http://www.wolframalpha.com/input/?i=2sqrt%28102^2-68^2%29

    • 11 months ago
  19. jdoe0001 Group Title
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    @highschoolmom2010 you can always just use the cosine of 42 degrees you know don't spare functions with your SOH CAH TOA

    • 11 months ago
  20. katherine.ok Group Title
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    Satelite using wolfram alpha. LOL hes definitely not highschool student.

    • 11 months ago
  21. katherine.ok Group Title
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    cos42=x/204= (x/2)/102 (the one i typed few mins ago)

    • 11 months ago
  22. highschoolmom2010 Group Title
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    ^^confused -_-

    • 11 months ago
  23. highschoolmom2010 Group Title
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    @ganeshie8 any help

    • 11 months ago
  24. jdoe0001 Group Title
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    \(\bf sin(42^o) = \cfrac{\textit{opposite side}}{\textrm{hypotenuse}} \implies \cfrac{w}{102} \implies \color{blue}{sin(42^o) \times 102} = w\\ cos(42^o) = \cfrac{\textit{adjacent side}}{\textrm{hypotenuse}} \implies \cfrac{\textit{half of "x"}}{102} \implies \color{green}{cos(42^o) \times 102} = \textit{half of "x"}\)

    • 11 months ago
  25. highschoolmom2010 Group Title
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    \[\cos (42)\rightarrow 65*102\]

    • 11 months ago
  26. jdoe0001 Group Title
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    well, if "half of x" = 65, yes

    • 11 months ago
  27. highschoolmom2010 Group Title
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    ive done confused myself again

    • 11 months ago
  28. jdoe0001 Group Title
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    then again, if you already know that x= 65 * 2, you don't have to do the cosine part :)

    • 11 months ago
  29. highschoolmom2010 Group Title
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    aw heck imma use @satellite73 s method

    • 11 months ago
  30. highschoolmom2010 Group Title
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    \[\sqrt{108^2+68^2}=108-68=40\] \[\sqrt{40}=2\sqrt{10}\]

    • 11 months ago
  31. highschoolmom2010 Group Title
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    but that doesnt look right

    • 11 months ago
  32. jdoe0001 Group Title
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    using the cosine, I get ahemm, something else for "x"

    • 11 months ago
  33. highschoolmom2010 Group Title
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    i dont understand now to use it with this problem

    • 11 months ago
  34. highschoolmom2010 Group Title
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    for x

    • 11 months ago
  35. katherine.ok Group Title
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    okay wild katherine has appeared.

    • 11 months ago
  36. highschoolmom2010 Group Title
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    |dw:1376262142492:dw|

    • 11 months ago
  37. katherine.ok Group Title
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    cos42=x/204

    • 11 months ago
  38. highschoolmom2010 Group Title
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    :( math is really hard for me right now yall

    • 11 months ago
  39. katherine.ok Group Title
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    x=204*cos42.

    • 11 months ago
  40. highschoolmom2010 Group Title
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    ya know that makes it a whole lot easier

    • 11 months ago
  41. katherine.ok Group Title
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    now the number should be above 150, which is so much more amazing than just sqrt(40).

    • 11 months ago
  42. highschoolmom2010 Group Title
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    151.6

    • 11 months ago
  43. highschoolmom2010 Group Title
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    ty @katherine.ok @satellite73 @jdoe0001

    • 11 months ago
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