Answer:
∠Z ≈ 12°
Step-by-step explanation:
Using the Sine Rule in ΔXYZ
[tex]\frac{x}{sinx}[/tex] = [tex]\frac{z}{sinz}[/tex], that is
[tex]\frac{48}{sin96}[/tex] = [tex]\frac{10}{sinz}[/tex] ( cross- multiply )
48 × sinZ = 10 × sin96° ( divide both sides by 48 )
sinZ = [tex]\frac{10sin96}{48}[/tex]
Z = [tex]sin^{-1}[/tex] ( [tex]\frac{10sin96}{48}[/tex] ) ≈ 12°
