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a1234

  • one year ago

a = 5 and c = 20. Find A and round to two decimal places.

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  1. a1234
    • one year ago
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    |dw:1444623329598:dw| Is A equal to 14.48 degrees?

  2. anonymous
    • one year ago
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    Are you familiar with the law of sines?

  3. a1234
    • one year ago
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    Yes, but I don't think they're needed here. sinA = 5/20 A = sin^-1 * 5/20

  4. anonymous
    • one year ago
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    It makes things a bit easier `LAW OF SINES:` \[\frac{ \sin(A) }{ a }=\frac{ \sin(B) }{ b }\] Plug in what we know \[\frac{ \sin(90) }{ 20 }=\frac{ \sin(A) }{ 5 }\] \[A=\sin^{-1} (\frac{ 5\sin(90) }{ 20 })\]

  5. anonymous
    • one year ago
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    Technically, the law applies to the whole triangle so it should be \[\frac{ \sin(A) }{ a }=\frac{ \sin(B) }{ b }=\frac{ \sin(C) }{ c }\] But you get the idea

  6. anonymous
    • one year ago
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    Your answer is correct though.

  7. anonymous
    • one year ago
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    Eh, it doesn't make it simpler. But later on you'll see that it's great to have.

  8. a1234
    • one year ago
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    Yes, it can be useful, but maybe not in this particular case

  9. a1234
    • one year ago
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    Thanks!

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