Answer:
∠Z = 54.6° ( nearest tenth )
Step-by-step explanation:
Using the sine rule in ΔXYZ
[tex]\frac{XY}{sinZ}[/tex] = [tex]\frac{XZ}{sinY}[/tex], that is
[tex]\frac{9}{sinZ}[/tex] = [tex]\frac{11}{sin85}[/tex] ( cross- multiply )
11sinZ = 9sin85° ( divide both sides by 11 )
sinZ = [tex]\frac{9sin85}{11}[/tex], hence
Z = [tex]sin^{-1}[/tex] ([tex]\frac{9sin85}{11}[/tex] ) = 54.6°
