Option 1:
Find x. Show all work.

Using law of cosines:
Cos(angle) = adjacent/ hypotenuse
Cos(22) = 12/x
Rewrite to get:
X = 12/cos(22)
Simplify:
X = 12.9424
Round the answer as needed.
[tex]\\ \tt\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\\ \tt\Rrightarrow cos22=\dfrac{12}{x}[/tex]
[tex]\\ \tt\Rrightarrow 12=xcos22[/tex]
[tex]\\ \tt\Rrightarrow 12=0.92x[/tex]
[tex]\\ \tt\Rrightarrow x=12/0.92[/tex]
[tex]\\ \tt\Rrightarrow x=13.04[/tex]