For this case we have that, by definition of trigonometric relationships of rectangular triangles, the cosine of an angle is given by the division of the leg adjacent to the angle on the hypotenuse of the triangle. According to the figure we have:
[tex]Cosine (50) = \frac {6} {x}\\x = \frac {6} {cosine (50)}\\x = 9.3343[/tex]
Thus, the value of x is 9.3
Answer:
[tex]x = 9.3[/tex]