Which adjacent side, the hypotenuse, or the other?
Well you'd have two different answers, but I'm assuming that it is not referring to the hypotenuse. I believe that the sides should be proportional to the degree of the angles, but could be wrong. This basically means that you need to find the other angle, then divide the 54 degrees by the other angle to get your answer.
Knowing that there are 180 degrees in a triangle, and two of the angles are 90 and 54 degrees...
180-90-54=36
Since you want to know how many times the side opposite the 54 degree angle is larger(or smaller) than the adjacent side, you will divide 54 by 36 degrees. You should end up with 1.5.