Answer:
AB = 7.10
Explanation:
Reference angle = 65°
Hypotenuse = AB = ?
Adjacent side length = BC = 3
Apply the trigonometric ratio CAH, to find AB.
Cos 65 = Adj/Hyp
Cos 65 = 3/AB
AB*Cos 65 = 3
AB = 3/Cos 65
AB = 7.09860475
AB = 7.10 (nearest hundredth)