To the nearest hundredth, what is the value of x? show your work.

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  and the hypotenuse is 55, so:


We solve for :


The answer is 41.51.