SOLUTION: Find all solutions for a triangle with C=130 degrees, c=17, and b=5. Round to nearest tenth.
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Question 808804
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Find all solutions for a triangle with C=130 degrees, c=17, and b=5. Round to nearest tenth.
Answer by
stanbon(75887)
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Find all solutions for a triangle with C=130 degrees, c=17, and b=5.
Round to nearest tenth.
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Use the Law of Sines::
sin(B)/5 = sin(130)/17
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sin(B) = (5/17)sin(130)
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sin(B) = 0.2253
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B = arcsin(0.2253) = 13.02 degrees
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Solve for "a":
a/sin(A) = 17/sin(130)
a = 0.6015*17/0.7660 = 13.35
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Cheers,
Stan H.
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