SOLUTION: In a triangle ABC, the angle at A is 57 degrees, the angle at B is 28 degrees, and the length of side AB is 3. To 2 decimal places, what is the length of side BC?

Algebra ->  Triangles -> SOLUTION: In a triangle ABC, the angle at A is 57 degrees, the angle at B is 28 degrees, and the length of side AB is 3. To 2 decimal places, what is the length of side BC?      Log On


   

Question 986747: In a triangle ABC, the angle at A is 57 degrees, the angle at B is 28 degrees, and the length of side AB is 3. To 2 decimal places, what is the length of side BC?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Angle C is then,
C=180-57-28
C=95
Then by the law of sines,
BC%2Fsin%28A%29=AB%2Fsin%28C%29
BC=AB%2A%28sin%28A%29%2Fsin%28C%29%29
BC=3%2A%28sin%2857%29%2Fsin%2895%29%29
BC=3%2A0.81487
BC=2.53