SOLUTION: Find the angle θ. (Use either the Law of Sines or the Law of Cosines, as appropriate.) (Round your answer to one decimal place.) a = 12, c = 6, angleC=25 degrees. find thetha

Algebra ->  Trigonometry-basics -> SOLUTION: Find the angle θ. (Use either the Law of Sines or the Law of Cosines, as appropriate.) (Round your answer to one decimal place.) a = 12, c = 6, angleC=25 degrees. find thetha      Log On


   



Question 233384: Find the angle θ. (Use either the Law of Sines or the Law of Cosines, as appropriate.) (Round your answer to one decimal place.)
a = 12, c = 6, angleC=25 degrees. find thetha in degrees


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the angle θ. (Use either the Law of Sines or the Law of Cosines, as appropriate.) (Round your answer to one decimal place.)
a = 12, c = 6, angleC=25 degrees. find thetha in degrees
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If you assume that angle(theta) is A, the Law of Sines says:
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sin(A)/a = sin(C)/c
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sin(A) = 12[sin(25)/6]
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sin(A) = 2*sin(25)
sin(A) = 0.84523...
A = arcsin(0.84523...) = 57.70 degrees
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Cheers,
Stan H.