Answer:
TW = 3.2 yd
Step-by-step explanation:
In the picture attached,
Triangle TWV has been given with angle W = 90°
By applying Sine rule in the given right triangle,
Since, Sine of an angle is the ratio of its opposite side and hypotenuse (side opposite to the right angle)
SinV = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
SinV = [tex]\frac{\text{TW}}{\text{TV}}[/tex]
Sin(32)°= [tex]\frac{\text{TW}}{6}[/tex]
TW = 6.Sin(32)°
TW = 3.1795
TW = 3.2 yd
Therefore, measure of the side TW = 3.2 yd.