We are given the angle measure, measure of hypotenuse and we are to find the base(Adjacent) side of the angle.
Cosine relates all these three as:
[tex]cos(x)= \frac{Base}{Hypotenuse} \\ \\
cos(20)= \frac{Base}{2} \\ \\
Base=2 *(cos20) \\ \\
Base=1.88[/tex]
Rounded to nearest hundredth, the measure of side adjacent to the angle is 1.88