SOLUTION: How to use Law of Sines? Find the remaining sides and angles of the triangle, using law of sines: A=10, A=30 degrees, B= 45 degrees

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Question 451564: How to use Law of Sines?
Find the remaining sides and angles of the triangle, using law of sines:
A=10, A=30 degrees, B= 45 degrees
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Law of Sines is sinA%2Fa=sinB%2Fb=sinC%2Fc, where A, B, and C are measures of
angles and a, b, and c are the lengths of sides of the triangle.
We know that A=30 degree, a=10cm, and B=45 degree.
Find first C=180-(45+30)=105 degree.
Substituting in the formula we get:sin%2830%29%2F10=sin%2845%29%2Fb=sin%28105%29%2Fc
therefore, b=10sin%2845%29%2Fsin%2830%29=10sqrt%282%29+cm and
c=10sin%28105%29%2Fsin%2830%29=19.3 cm.