Answer:
x ≈ 6.36
Step-by-step explanation:
Using the Sine Rule in Δ GHI
[tex]\frac{GI}{sinH}[/tex] = [tex]\frac{GH}{sinI}[/tex] , substitute values
[tex]\frac{x}{sin14}[/tex] = [tex]\frac{21}{sin127}[/tex] ( cross- multiply )
x sin127° = 21 sin14° ( divide both sides by sin127° )
x = [tex]\frac{21sin14}{sin127}[/tex] ≈ 6.36 ( to the nearest hundredth )
