Solve for side c and round to the nearest tenth

Answer:
c
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan64° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{11}{c}[/tex] ( multiply both sides by c )
c × tan64° = 11 ( divide both sides by tan64° )
c = [tex]\frac{11}{tan64}[/tex] ≈ 5.4 ( to the nearest tenth )