Answer:
AB ≈ 7.10
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos65° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{AB}[/tex]
Multiply both sides by AB
AB × cos65° = 3 ( divide both sides by cos65° )
AB = [tex]\frac{3}{cos65}[/tex] ≈ 7.10 ( to the nearest hundredth )
