Triangle two angles and one length [closed]

In a triangle ABC, the angle at A is 41 degrees, the angle at B is 71 degrees, and the length of side AB is 8. To 2 decimal places, what is the length of side BC?

I got this answer 5.66. is that correct? I used sinerule.

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Yes that's correct. –  user39572 Sep 11 '12 at 14:44
Using sine rule, $$\frac{AB}{\sin 68^\circ}=\frac{BC}{\sin 41^\circ}$$ so your answer is correct.