Option B: 4.0 cm is the value of w
Explanation:
It is given that [tex]\angle W= 39[/tex], [tex]\angle U=31[/tex], [tex]VW=3.3[/tex] and [tex]UV=w[/tex]
Using the law of sines, we have,
[tex]\frac{sin U}{3.3} =\frac{sin W}{w}[/tex]
Substituting the values, we have,
[tex]\frac{\sin 31}{3.3}=\frac{\sin 39}{w}[/tex]
Cross multiplying, we get,
[tex](sin31) w=3.3( \sin 39)[/tex]
Simplifying, we have,
[tex]0.515w=2.077[/tex]
Dividing both sides by 0.515, we have,
[tex]w=4.0[/tex]
Thus, the value of w is 4.0 cm
Hence, Option B is the correct answer.
