Law of Sines. Find the

Mathematics

1 answer:

9966 [12]3 years ago

4 0

Answer:

$\angle B=23.96\\\\\angle C=59.04$

Step-by-step explanation:

$\:The\:law\:of\:sines\:is:\\\\\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

$with\\\\A=97\\\\a=22\\\\b=9\\\\c=19$

$so\:we\:have\\\\\frac{\sin 97}{22}=\frac{\sin B}{9}\\\\\sin B=\frac{9\sin 97}{22}\\\\B=\sin^{-1}(\frac{9\sin 97}{22})\\\\B\approx 23.96$

$You\:could\:use\:the\:law\:of\:sines\:again\\\\But\:remember\:that\:the\:sum\:of\:angles\:is\:180\\\\\angle A+\angle B+\angle C=180\\\\97+23.96+\angle C=180\\\\120.96+\angle C=180\\\\\angle C=59.04$

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