Find the value of w to the nearest tenth using the tangent ratio for ZA.

Answer:
w ≈ 13.8
Step-by-step explanation:
using the tangent ratio in the right triangle
tan36° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{10}{w}[/tex] ( multiply both sides by w )
w × tan36° = 10 ( divide both sides by tan36° )
w = [tex]\frac{10}{tan36}[/tex] ≈ 13.8 ( to the nearest tenth )