Answer:
AC ≈ 21.5 m
Step-by-step explanation:
Using the Sine rule in Δ ABC
[tex]\frac{AC}{sin64}[/tex] = [tex]\frac{AB}{sin53.33}[/tex] ( cross- multiply )
AC × sin53.33° = AB × sin64°, that is
AC × sin53.33° = 19.2 × sin64° ( divide both sides by sin53.33° )
AC = [tex]\frac{19.2(sin64)}{sin53.33}[/tex] ≈ 21.5 m
