To solve this question we will use the cosine rule
[tex]c=\sqrt{a^2+b^2-2abcosC}[/tex]
Since a = 63.63 mi
Since b = 43.59 mi
Since C = 45.4 degrees
Substitute them in the rule above to find c
[tex]\begin{gathered} c=\sqrt{63.63^2+43.59^2-2(63.63)(43.59)cos(45.5^{\circ})} \\ c=45.54160285 \end{gathered}[/tex]
Round it to 2 decimal places
c = 45.54 mi
The answer is A, c = 45.54 mi
