SOLUTION: Find all possible triangles with side b= 25,side c = 30, and angle B= 25 using the Law of Sine

Algebra ->  Trigonometry-basics -> SOLUTION: Find all possible triangles with side b= 25,side c = 30, and angle B= 25 using the Law of Sine      Log On


   

Question 820008: Find all possible triangles with side b= 25,side c = 30, and angle B= 25 using the Law of Sine
Answer by ortarico(23) About Me  (Show Source):
You can put this solution on YOUR website!
b = 25cm
c = 30cm
B = 25deg
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:. SINB/b = SINC/c
SIN25deg/25cm = SINC/30
0.4226/25 = SINC/30
SINC = 0.4226 * 30/25
SINC = 12.6786/25
SINC = 0.5071
C = ARCSIN(0.5071)
C = 30.47deg or 30deg28'
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A B C = 180
A (25 30.47) = 180
A 55.47 = 180
A = 180 - 55.47
A = 124.53deg or 124deg31'
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A = 124deg31'
B = 25deg
C = 30deg 28'