Question

Law of Sines. Find the

Answer 1

`\angle B=23.96\\\\\angle C=59.04`

Explanation:

`\:The\:law\:of\:sines\:is:\\\\(\sin A)/(a)=(\sin B)/(b)=(\sin C)/(c)`

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

`so\:we\:have\\\\(\sin 97)/(22)=(\sin B)/(9)\\\\\sin B=(9\sin 97)/(22)\\\\B=\sin^(-1)((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`