a1234
  • a1234
a = 5 and c = 20. Find A and round to two decimal places.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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a1234
  • a1234
|dw:1444623329598:dw| Is A equal to 14.48 degrees?
anonymous
  • anonymous
Are you familiar with the law of sines?
a1234
  • a1234
Yes, but I don't think they're needed here. sinA = 5/20 A = sin^-1 * 5/20

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More answers

anonymous
  • anonymous
It makes things a bit easier `LAW OF SINES:` \[\frac{ \sin(A) }{ a }=\frac{ \sin(B) }{ b }\] Plug in what we know \[\frac{ \sin(90) }{ 20 }=\frac{ \sin(A) }{ 5 }\] \[A=\sin^{-1} (\frac{ 5\sin(90) }{ 20 })\]
anonymous
  • anonymous
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
anonymous
  • anonymous
Your answer is correct though.
anonymous
  • anonymous
Eh, it doesn't make it simpler. But later on you'll see that it's great to have.
a1234
  • a1234
Yes, it can be useful, but maybe not in this particular case
a1234
  • a1234
Thanks!

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