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Mathematics 8 Online
OpenStudy (sleepyjess):

Can someone check my work? Solving the triangle

OpenStudy (sleepyjess):

Given: B = 73 degrees b = 15 c = 8 \(\sf\dfrac{sin(73)}{15}~=~\dfrac{sin(x)}{8}\)

OpenStudy (sleepyjess):

\(\sf\dfrac{8sin(73)}{15}~=~sin(x)\)

OpenStudy (sleepyjess):

\(\sf arcsin(\dfrac{8sin(73)}{15})\)

OpenStudy (anonymous):

what woule be \(\sin(C)\) right?

OpenStudy (sleepyjess):

Yes, I am using x in place of C

OpenStudy (sleepyjess):

Then I got C = 30.7, angle A = 25.8

OpenStudy (anonymous):

use C so as you know which angle it is not that the variable is important, but it is good go label angles opposite sides by the capital letter

OpenStudy (sleepyjess):

\(\sf\dfrac{15}{sin(30.7)}~=~\dfrac{A}{sin(76.3)}\)

OpenStudy (anonymous):

\[30.7\] looks good to me

OpenStudy (sleepyjess):

\(\sf\dfrac{15sin(76.3)}{sin(30.7)}=A\)

OpenStudy (sleepyjess):

Ah, I used A instead of a, but hopefully you know what I mean xD

OpenStudy (sleepyjess):

And finally a = 28.5

OpenStudy (anonymous):

i am lost what is angle A?

OpenStudy (sleepyjess):

Oh whoops, I got 76.3 for angle A

OpenStudy (anonymous):

oh i see it is \(76.3\) which you used, but for some reason above you said \(A=25.8\)

OpenStudy (anonymous):

oh i see \(a=23.8\)

OpenStudy (anonymous):

rather a = 25.8

OpenStudy (sleepyjess):

Oh, I think I was looking at the wrong problem above hah

OpenStudy (anonymous):

i get something different for A http://www.wolframalpha.com/input/?i=15sin%2876.3%29%2Fsin%2873%29

OpenStudy (sleepyjess):

Why over sin(73)?

OpenStudy (sleepyjess):

Oh, you were using b and B

OpenStudy (anonymous):

B=73 b=15

OpenStudy (sleepyjess):

Why do I get a different answer when using c and C though?

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