There is a set of formulas called 'Trigonometric Identities' that comes in handy when solving this kind of problems, the one we will use to solve this exercise is:
[tex]\cos (x)=\frac{A}{H}[/tex]
This expression is valid for any right triangle
From the figure notice that taking the angle 27° as the reference, the side of length 6 is the adjacent (A) and, of course, x is the Hypotenuse.
So, we have that:
[tex]\begin{gathered} \cos (27degree)=\frac{6}{x} \\ \Rightarrow x=6\cos (27degree)=5.346 \end{gathered}[/tex]
And, to the near tenth
[tex]x=5.3[/tex]
