➷ a/sinA = c/sinC
Substitute in the values:
37/sin(42) = c/sin(41.5)
Multiply both sides by sin(41.5)
37/sin(42) x sin(41.5) = c
Solve:
c = 36.63999457
The correct answer would be C. 36.64
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Answer:
C
Step-by-step explanation:
Using the law of Sines in ΔABC
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex], that is
[tex]\frac{37}{sin42}[/tex] = [tex]\frac{c}{sin41.5}[/tex] ( cross- multiply )
c × sin42° = 37 × sin41.5° ( divide both sides by sin42° )
c = [tex]\frac{37(sin41.5)}{sin42}[/tex] ≈ 36.64 ( to 2 dec. places )
