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## anonymous one year ago LAW OF SINES Find B, C, and c. A = 32°, a = 19, b = 14

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1. anonymous

I got B = 23°, C = 125°, c ≈ 29.4. Correct?

2. anonymous

$\huge \frac{ \sin32 }{ 19 }=\frac{ \sin B }{ 14 } \rightarrow sinB=\frac{ \sin32 }{ 19 } \times 14$

3. anonymous

$\huge\ B=\sin^-1\left( \frac{ \sin32 }{ 19}\times14 \right)$

4. anonymous

$\huge B= 22.98 \rightarrow B=23°$

5. anonymous

$∠C=180-23-32 \rightarrow m∠C=125$

6. anonymous

$\frac{ 19 }{ \sin 32 }=\frac{ c }{ \sin125 }$$c=\frac{ 19 }{ \sin32 } \times \sin125$$\huge c = 29.37°$

7. anonymous

Am I right?

8. anonymous

You are correct, except that c is a side length so is not measured in degrees. Good job!

9. anonymous

My bad. :D It was a side, not an angle. Thanks!

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