solve for $x$. round to the nearest tenth, if necessary.\nanswer\n$x = $

Explanation:

Step1: Identify trigonometric ratio

In right triangle $MNO$, $\angle M = 29^\circ$, opposite side to $\angle M$ is $ON = 6.8$, and $x$ is the adjacent side. Use tangent ratio: $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute known values

$\tan(29^\circ)=\frac{6.8}{x}$

Step3: Rearrange to solve for $x$

$x=\frac{6.8}{\tan(29^\circ)}$

Step4: Calculate the value

First, $\tan(29^\circ)\approx0.5543$, so $x\approx\frac{6.8}{0.5543}\approx12.3$

Answer:

$12.3$