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anonymous

  • one year ago

What is the value of x? A. 4 B. 4 squared root 3 C. 8 square root 3 D. 16

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    Are you familiar with SOH CAH TOA?

  3. anonymous
    • one year ago
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    nope

  4. anonymous
    • one year ago
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    |dw:1433302386839:dw|

  5. anonymous
    • one year ago
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    ok, we have the right angle triangle with the known angle at the top

  6. anonymous
    • one year ago
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    |dw:1433302458260:dw|

  7. anonymous
    • one year ago
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    okkay

  8. anonymous
    • one year ago
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    in relation to the angle, the sides are labelled as in the diagram

  9. anonymous
    • one year ago
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    SOH stands for sin = opposite/hypotenuse

  10. anonymous
    • one year ago
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    CAH stands for cos = adjacent/hypotenuse

  11. anonymous
    • one year ago
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    and TOA stands for tan = opposite/adjacent

  12. anonymous
    • one year ago
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    |dw:1433302662566:dw|

  13. anonymous
    • one year ago
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    So what side of the triangle is the 8?

  14. anonymous
    • one year ago
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    tan?

  15. anonymous
    • one year ago
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    nope, its either opposite, adjacent or hypotenuse look at the diagram

  16. anonymous
    • one year ago
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    hypotenuse

  17. anonymous
    • one year ago
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    correct

  18. anonymous
    • one year ago
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    what side is the x?

  19. anonymous
    • one year ago
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    opposite

  20. anonymous
    • one year ago
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    that's right. which of sin, cos, or tan feature both opposite and hypotenuse?

  21. anonymous
    • one year ago
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    sin

  22. anonymous
    • one year ago
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    yep

  23. anonymous
    • one year ago
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    so now we have our equation

  24. anonymous
    • one year ago
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    \[\sin \theta=x/8\]

  25. anonymous
    • one year ago
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    theta is the angle which is 30 degrees

  26. anonymous
    • one year ago
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    sin(30) = x/8

  27. anonymous
    • one year ago
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    now solve for x

  28. anonymous
    • one year ago
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    can you do that?

  29. anonymous
    • one year ago
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    yes hold on

  30. anonymous
    • one year ago
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    wait no...how do you find x?

  31. anonymous
    • one year ago
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    we want to get x by itself

  32. anonymous
    • one year ago
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    how would you get rid of the 8?

  33. anonymous
    • one year ago
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    uhh..i dont know

  34. anonymous
    • one year ago
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    what is the opposite of division

  35. anonymous
    • one year ago
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    multiplication

  36. anonymous
    • one year ago
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    correct. So you can think of the x/8 as x divided by 8. To undo this just multiply both sides of the equation by 8.

  37. anonymous
    • one year ago
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    so would it be 8*8

  38. anonymous
    • one year ago
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    |dw:1433303730916:dw|

  39. anonymous
    • one year ago
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    240?

  40. anonymous
    • one year ago
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    put your calculator in degree mode

  41. anonymous
    • one year ago
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    i dont have a calculator...i have my computer one

  42. anonymous
    • one year ago
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    https://www.wolframalpha.com/input/?i=8sin%2830%29

  43. anonymous
    • one year ago
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    i had to step away sorry

  44. anonymous
    • one year ago
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    its 4

  45. anonymous
    • one year ago
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    thats right

  46. anonymous
    • one year ago
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    is that the answer?

  47. anonymous
    • one year ago
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    yep

  48. anonymous
    • one year ago
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    thanks for tolerating my dumb self and for being so patient :)

  49. anonymous
    • one year ago
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    no problem. Just curious, what grade are you in?

  50. anonymous
    • one year ago
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    8th yes im dumb and very slow when it comes to math but im very good in reading and writing so dont think im all the way dumb lol

  51. anonymous
    • one year ago
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    lol I wasn't implying that at all, I just haven't done this stuff in a while and was wondering when they teach this stuff

  52. anonymous
    • one year ago
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    oohh well yep 8th grade

  53. anonymous
    • one year ago
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    k, have a good night :)

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