Answer: 10
Step-by-step explanation:
First, find m∠C by using the Triangle Sum Theorem:
∠A + ∠B + ∠C = 180°
110 + 43 + ∠C = 180°
153 + ∠C = 180°
∠C = 27°
Next, Use the Law of Sines to solve for c:
[tex]\dfrac{b}{sin\ B}= \dfrac{c}{sin\ C}[/tex]
[tex]\dfrac{15}{sin\ 43}= \dfrac{c}{sin\ 27}[/tex]
[tex]\dfrac{15\ sin\ 27}{sin\ 43}= c[/tex]
[tex]10 = c[/tex]
