Answer:
CA ≈ 3.1 ft
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{CA}[/tex] = [tex]\frac{2.6}{CA}[/tex] ( multiply both sides by CA )
CA × tan40° = 2.6 ( divide both sides by tan40° )
CA = [tex]\frac{2.6}{tan40}[/tex] ≈ 3.1 ft ( to the nearest tenth )
