Answer: Choice A) 29.5
This value is approximate.
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Work Shown:
First we need to find angle C
A+B+C = 180
46+73+C = 180
119+C = 180
C = 180 - 119
C = 61
This is not the final answer, so answer choice B is likely a trick/trap answer.
We'll use this angle value to help find side c. Use the law of sines
c/sin(C) = b/sin(B)
c/sin(61) = (32.3)/sin(73)
c = sin(61)*(32.3)/sin(73)
c = 29.5410185554849 which is approximate
c = 29.5 which points us to choice A as the final answer.
