SOLUTION: Given two sides and an angle of a triangle. Determine angles B and C.A = 60°, a = 5, c = 3

Algebra ->  Trigonometry-basics -> SOLUTION: Given two sides and an angle of a triangle. Determine angles B and C.A = 60°, a = 5, c = 3      Log On


   

Question 977597: Given two sides and an angle of a triangle. Determine angles B and C.A = 60°, a = 5, c = 3
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Using Sine Rule:
a/SinA = c/sinC
5/Sin60 = 3/SinC
Cross multiply
5SinC = 3xsin60
SinC = 3xsin60/5
SinC = 0.5196
C = 31.3
..............
Angle B = 180 - (60 + 31.3)
Angle B = 88.7
..............
Angle A = 60 degrees (Given)
Angle b = 88.7 degrees
Angle C = 31.3 degrees
Hope this helps:-)