Question

What is the tangent ratio for LA?

Answer 1

Tangent= opposite side/adjacent side

Opposite side=2
Adjacent Side=3

Tangent of Angle A= 2/3

Answer 2

As you already know, the tangent is opposite/adjacent.

well, the opposite side for any angle is the side "facing off" the angle, across on the other end.  in this case, is the segment BC.

and the adjacent side is the side touching it, in this case AC.

so the tangent is BC/AC, and you know what that is.