To solve this, we'll use the trigonometric function called cosine.
The cosine of an angle -in a right triangle-, is equal to the side adjacent to the angle over the hypotenuse of the triangle.
Given the angle 41, its adjacent side is [tex]x[/tex] and the hypotenuse is 55, so:
[tex]cos(41)= \frac{x}{55} [/tex]
We solve for [tex]x[/tex]:
[tex]x=55cos(41)=41.51[/tex]
The answer is 41.51.