Given data:
The first given length is t=4.1 inches.
The second given length is r=7.1 inches.
The given angle is S= 45 degrees.
The expression for the cosine rule is,
[tex]\cos (S)=\frac{t^2+r^2-s^2}{2(t)(r)}[/tex]Substituute the given values in the above expression.
[tex]\begin{gathered} \cos (45^{\circ})=\frac{(4.1in)^2+(7.1in)^2-s^2}{2(4.1\text{ in)(7.1 in)}} \\ 41.167=67.22-s^2 \\ s^2=26.053 \\ s=5.1042\text{ in} \\ \approx5.1\text{ in} \end{gathered}[/tex]Thus, the value of s is 5.1 inches.
