Respuesta :

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