SOLUTION: Use the Law of Sines to solve for the missing side for the oblique triangle. Round your answer to the nearest hundredth. Assume that angle A is opposite side a, angle B is opposite

Algebra ->  Trigonometry-basics -> SOLUTION: Use the Law of Sines to solve for the missing side for the oblique triangle. Round your answer to the nearest hundredth. Assume that angle A is opposite side a, angle B is opposite      Log On


   

Question 1204367: Use the Law of Sines to solve for the missing side for the oblique triangle. Round your answer to the nearest hundredth. Assume that angle A is opposite side a, angle B is opposite side b, and angle C is opposite side c.
Find side a when
A = 136°,
C = 28°,
b = 10.
Answer by math_tutor2020(3817) About Me  (Show Source):
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A+B+C = 180
136+B+28 = 180
B+164 = 180
B = 180-164
B = 16

a/sin(A) = b/sin(B)
a/sin(136) = 10/sin(16)
a = sin(136)*10/sin(16)
a = 25.20189501891
a = 25.20