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anonymous

  • one year ago

GIVE MEDAL!! In right ∆ABC, m B = 90°, m C = 40°, and BC = 10. What are the other two side lengths of the triangle? AC = 13.1, AB = 8.4 AC = 18.7, AB = 15.8 AC = 14.3, AB = 10.2 AC = 15.6, AB = 11.9

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  1. iGreen
    • one year ago
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    We can use Sine, Cosine, and Tangent to find the remaining sides..

  2. iGreen
    • one year ago
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    |dw:1436967646848:dw|

  3. iGreen
    • one year ago
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    \(\sf Sine=\dfrac{Opposite}{Hypotenuse}\) \(\sf Cosine=\dfrac{Adjacent}{Hypotenuse}\) \(\sf Tangent = \dfrac{Opposite}{Adjacent}\) Here, we are given the adjacent side, and we want to find the opposite and the hypotenuse.

  4. iGreen
    • one year ago
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    Hehe, it would be if you got it yourself :P

  5. anonymous
    • one year ago
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    o..k

  6. anonymous
    • one year ago
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    umm..

  7. iGreen
    • one year ago
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    |dw:1436968060414:dw|

  8. iGreen
    • one year ago
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    So to find the hypotenuse, we can use cosine. \(\sf Cosine=\dfrac{Adjacent}{Hypotenuse}\) Plug in what we know: \(\sf cos(90^o) = \dfrac{10}{x}\)

  9. iGreen
    • one year ago
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    Hmm..I think that's right..I'm not sure about which angle to use..I haven't done this in a while..

  10. anonymous
    • one year ago
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    its ok

  11. iGreen
    • one year ago
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    Okay, 90 degrees is wrong..

  12. iGreen
    • one year ago
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    Hold on a minute

  13. anonymous
    • one year ago
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    k

  14. iGreen
    • one year ago
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    Okay, I think we use 40 degrees..

  15. iGreen
    • one year ago
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    So: \(\sf cos(40^o) = \dfrac{10}{x}\) Type in \(\sf cos(40^o)\) into your calculator, tell me what you get.

  16. anonymous
    • one year ago
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    i dont have a scientific one ..its ok ill guess but thx for help ill give tht medal :)

  17. iGreen
    • one year ago
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    You can use google, just type in "cos 40 degrees"

  18. anonymous
    • one year ago
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    kk

  19. anonymous
    • one year ago
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    a big decimal so ill put 0.766

  20. iGreen
    • one year ago
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    Yep, so we have: \(\sf 0.766 = \dfrac{10}{x}\) Solve for 'x'

  21. anonymous
    • one year ago
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    so i times the decimal and 10?

  22. anonymous
    • one year ago
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    or divide

  23. iGreen
    • one year ago
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    Well, you can switch 'x' and 0.766 around. \(\sf x = \dfrac{10}{0.766}\) So just divide

  24. anonymous
    • one year ago
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    13.1?

  25. anonymous
    • one year ago
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    it was a big decimal so i round it and got tht

  26. iGreen
    • one year ago
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    Sorry, my internet just went out for a few seconds there.

  27. iGreen
    • one year ago
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    Yep, 13.1 is corret.

  28. iGreen
    • one year ago
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    correct*

  29. iGreen
    • one year ago
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    That's our hypotenuse.

  30. anonymous
    • one year ago
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    its a!!!

  31. iGreen
    • one year ago
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    Yes, I think that's correct.

  32. anonymous
    • one year ago
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    thx for the help :)

  33. iGreen
    • one year ago
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    Np

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