To determine the value of x, we will use the trigonometric function cosine:
[tex]cos32^{\circ}=\frac{x}{14}.[/tex]Solving the above equation for x, we get:
[tex]x=cos32^{\circ}*14.[/tex]Therefore:
[tex]x\approx11.9.[/tex]Answer:
[tex]x=11.9.[/tex]