given that x = 7.4 m and θ = 32°, work out bc rounded to 3 sf.
(not drawn to scale)

Answer:
BC ≈ 11.8 m
Step-by-step explanation:
using the tangent ratio in the right triangle
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{x}{BC}[/tex] , that is
tan32° = [tex]\frac{7.4}{BC}[/tex] ( multiply both sides by BC )
BC × tan32° = 7.4 ( divide both sides by tan32° )
BC = [tex]\frac{7.4}{tan32}[/tex] ≈ 11.8 m ( to 3 sf )