SOLUTION: One side of a triangle measures 6 cm. The second side measures 8 cm. The third side measures 15 cm. The angle opposite the 8 cm side is 34 degrees. What is the measurement of the a

Question 1035055: One side of a triangle measures 6 cm. The second side measures 8 cm. The third side measures 15 cm. The angle opposite the 8 cm side is 34 degrees. What is the measurement of the angle opposite the 6 cm side?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Label your triangle ABC
Side AB = 8 cm
Side BC = 15 cm
Side AC = 6 cm.
Angle C opposite side AB = 34 degrees
Using Sine Rule:-
a/SinA = b/SinB = c/SinC
c/SinC = b/SinB
8/Sin34 = 6/SinB
Cross multiply
8 x SinB = 6 x sin34
SinB = (6 x sin34)/8
Sin B = 0.3968
Angle B = 23.4 degrees.
Hope this helps :-)
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