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anonymous

  • one year ago

Help with Laws of Sines!!! Will Medal!

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  1. anonymous
    • one year ago
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  2. welshfella
    • one year ago
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    |dw:1435263261477:dw|

  3. welshfella
    • one year ago
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    sine rule is a / sin A = b / sin b = c / sin C

  4. welshfella
    • one year ago
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    thats 200 not 20 ( in the diagram)

  5. anonymous
    • one year ago
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    So we would set the equation up like:\[\sin(B) = \frac{ 200 }{ \sin(52) } \times 234?\]

  6. welshfella
    • one year ago
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    to find angle B we have 234 / sin B = 200/ sin 52

  7. welshfella
    • one year ago
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    cross multiply 200 sin B = 234*sin 52 sin B = (234* sin52) / 200

  8. anonymous
    • one year ago
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    sin B = .9219

  9. welshfella
    • one year ago
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    0.9220 to 4 dec places

  10. anonymous
    • one year ago
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    Ok! So now how would we find the angles for B?

  11. welshfella
    • one year ago
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    use your calculator - the key marked sin-1

  12. anonymous
    • one year ago
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    Oh I completely forgot about arcsin! Thanks for reminding me. Anyway, I got 67.22 degrees! Are there going to be more than one answer or is this it?

  13. welshfella
    • one year ago
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    hmmm i'll have to check if theres another answer 76.22 is correct

  14. anonymous
    • one year ago
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    Great! I am not sure if there is another answer but if there is, it should be 112.8

  15. welshfella
    • one year ago
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    yes hm i've forgotten this bit of trig - i dont think there is as the length of b would have to be grater than 235

  16. anonymous
    • one year ago
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    Ok, so would you say there is only one answer to this problem making it B?

  17. welshfella
    • one year ago
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    |dw:1435264077166:dw|

  18. welshfella
    • one year ago
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    yes

  19. anonymous
    • one year ago
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    It was A :( but that;s okay :) Thank you for your help!

  20. welshfella
    • one year ago
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    |dw:1435264202417:dw|

  21. welshfella
    • one year ago
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    yes that's right - theres the 2 possibilities in the diagram

  22. anonymous
    • one year ago
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    Oh I see now! Thank you!

  23. welshfella
    • one year ago
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    its call ed the ambiguous case where 2 angles are possible

  24. anonymous
    • one year ago
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    I don't like these cases hahaha. Always trick me!

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