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tw101

  • one year ago

Using the law of sines, in triangle ABC, if m<C=135, M<B=10, c=45, find measure of a

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  1. tw101
    • one year ago
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    @LegendarySadist I know you already helped me with one like this, but this one is a bit different. How do I solve when it has all three variables?

  2. anonymous
    • one year ago
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    So |dw:1436210371264:dw|

  3. tw101
    • one year ago
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    i have it set up like: sin(a)/a=10/b=135/45

  4. anonymous
    • one year ago
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    Oh, we're looking for a|dw:1436210449197:dw|

  5. anonymous
    • one year ago
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    When we look for side lengths, it's easier to put the side lengths on top. So \[\large \frac{a}{sin(35)}~=~\frac{45}{sin(135)}\]

  6. tw101
    • one year ago
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    What about B?

  7. anonymous
    • one year ago
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    I thought that's what we were solving for at first, but since we're not we can ignore it.

  8. tw101
    • one year ago
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    oooh okay so its just extra information?

  9. anonymous
    • one year ago
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    Well the m<B allowed us to find m<A so not really. Me putting in "b" was extra info though.

  10. tw101
    • one year ago
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    okay. so just solve the equation above?

  11. anonymous
    • one year ago
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    Yep :)

  12. tw101
    • one year ago
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    and like the last one multiply both sides by 35 to get a alone?

  13. anonymous
    • one year ago
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    Well sin(35), but yes

  14. tw101
    • one year ago
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    okay one second

  15. tw101
    • one year ago
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    I got .900

  16. anonymous
    • one year ago
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    That's not what I got /:

  17. anonymous
    • one year ago
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    \[\large a~=~\frac{45 \times sin(35)}{sin(135)}\]

  18. tw101
    • one year ago
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    wait what about 33.36?

  19. anonymous
    • one year ago
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    That's closer, but not exactly it

  20. tw101
    • one year ago
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    i put: sin -1 (35*sin(1350/45 into my calculator

  21. anonymous
    • one year ago
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    There's the problem. We're solving for a, not sina. So no need for asin.

  22. tw101
    • one year ago
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    that was my answer when i put that into the calculator

  23. tw101
    • one year ago
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    OOOH

  24. tw101
    • one year ago
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    okay wait so im confused now when i multiply both sides by sin 35 is that it?

  25. anonymous
    • one year ago
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    \[\rm \large a~=~\frac{45 \times sin(35)}{sin(135)}\]

  26. tw101
    • one year ago
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    36.50?

  27. anonymous
    • one year ago
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    Correct!

  28. tw101
    • one year ago
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    whew! finally haha thank you again youre a lifesaver!

  29. anonymous
    • one year ago
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    \[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]

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