ANSWER
[tex]x = 41.51[/tex]
EXPLANATION
The given triangle has a right angle.
We were given an acute angle that measures 41°
The hypotenuse of the given right triangle is 55.
Since x is adjacent to the given angle and we also know the hypotenuse, we use the cosine ratio to find x.
[tex] \cos(41 \degree) = \frac{x}{55} [/tex]
Therefore
[tex]x = 55 \cos(41 \degree) [/tex]
[tex]x = 41.509[/tex]
We round to the nearest hundredth to obtain,
[tex]x = 41.51[/tex]
