Solve angle X to 1 dp

Answer:
x ≈ 57.8°
Step-by-step explanation:
using the Sine rule in the triangle
[tex]\frac{11}{sinx}[/tex] = [tex]\frac{8}{sin38}[/tex] ( cross- multiply )
8 × sinx = 11 × sin38° ( divide both sides by 8 )
sinx = [tex]\frac{11sin38}{8}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{11sin38}{8}[/tex] ) ≈ 57.8° ( to 1 dec. place )