SOLUTION: Find the two possible measures for angle C and side AC for the triangle with the given measurements m<A=30° AB=16 and BC=10

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Question 955365: Find the two possible measures for angle C and side AC for the triangle with the given measurements m
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Using the law of sines,
sin%2830%29%2F10=sin%28C%29%2F16
sin%28C%29=sin%2830%29%288%2F5%29
sin%28C%29=0.8
C=53.1
Then,
30%2BB%2B53.1=180
B=96.9
Again using the law of sines,
sin%2830%29%2F10=sin%2896.9%29%2FAC
AC=10%28sin%2896.9%29%2Fsin%2830%29%29
AC=19.9