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Solve the right triangle.a=63.63 mi, b= 43.59 mi, C= 45.4 degrees

Solve the right triangle.a=63.63 mi, b= 43.59 mi, C= 45.4 degrees-example-1

1 Answer

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To solve this question we will use the cosine rule


c=√(a^2+b^2-2abcosC)

Since a = 63.63 mi

Since b = 43.59 mi

Since C = 45.4 degrees

Substitute them in the rule above to find c


\begin{gathered} c=\sqrt{63.63^2+43.59^2-2(63.63)(43.59)cos(45.5^(\circ))} \\ c=45.54160285 \end{gathered}

Round it to 2 decimal places

c = 45.54 mi

The answer is A, c = 45.54 mi

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