Question 1077574
Be sure that you draw the triangle according to the data given to you.


Law of Sines will allow you the equation,  {{{sin(150)/9.4=sin(B)/4.8}}}, and this lets you find the value for interior angle at point B.
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{{{sin(B)=4.8*sin(150)/9.4}}}


{{{sin(B)=(4.8/9.4)sin(150)}}}
(and sin of 150 degrees is same as sin of 30 degree.)


{{{sin(B)=0.5(4.8/9.4)}}}


{{{sin(B)=0.255319}}}


meas. angle at B, {{{highlight(14.792*degrees)}}}.



Find angle measure at C.
{{{C+A+B=180}}}
{{{C+150+14.792=180}}}
{{{C=180-150-14.792}}}
{{{highlight(C=15.208*degrees)}}}
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The Law Of Cosines IS NOT NECESSARY for the problem.



You can again make use of Law Of Sines to find side length c.