Step 1:  Recall the law of sines formula

            FORMULA: \frac{a}{\sin A} = \frac{b}{ \sin B} = \frac{c}{\sin C}

​              Here each lowercase letter (like a) is the length of the side

              opposite the vertex labeled with the same capital letter (like A).

Step 2: Find the unknown length by using the law of sines formula  

            From the figure

        Since you know the measure of \angle\ V=28\degree, the length v of its opposite side,

        And the measure of \angle W = 107\degree

                      Use the Law of Sines to find the length w of the side opposite \angle W .

                            Law of sines

                                    \frac{w}{\sin W} = \frac{x}{\sin X}

                                   \frac{w}{\sin 107\degree} = \frac{5}{sin 28\degree}

                                      \frac{w}{0.956} = \frac{5}{0.469}

                                     \frac{w}{0.956} = 10.650

                                          w = 10.650*0.956

                                           w = 10.184

                                           w = 10.2