Find w

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