Answer:
EF ≈ 3.8
Step-by-step explanation:
Using the Sine rule in Δ DEF
[tex]\frac{EF}{sin75}[/tex] = [tex]\frac{DE}{sin50}[/tex] , that is
[tex]\frac{EF}{sin75}[/tex] = [tex]\frac{3}{sin50}[/tex] ( cross- multiply )
EF × sin50° = 3 × sin75° ( divide both sides by sin50° )
EF = [tex]\frac{3sin75}{sin50}[/tex] ≈ 3.8
