To solve this question, use the law of cosines:
[tex]c^2=a^2+b^2-2*a*b*cosC[/tex]
In this question:
c = x
C = 73°
a = 47
b = 45
Substituting the values, we have:
[tex]x^2=47^2+45^2-2*47*45*cos(73)[/tex]
And solving the equation:
[tex]\begin{gathered} x^2=2209+2025-4230*cos(73) \\ x^2=2209+2025-1236.7 \\ x^2=2997.3 \\ \end{gathered}[/tex]
Taking the square root of both sides:
[tex]\begin{gathered} \sqrt{x^2}=\sqrt{2997.3} \\ x=54.7 \end{gathered}[/tex]
Answer: x = 54.7 units.
