Krishna
0

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