Circle $O$ shown below has an arc of length 29 inches subtended by an angle of 2.6 radians. Find the length of the radius, $x$, to the nearest tenth of an inch.

Step 1 ：Given that the length of the arc, $s$, is 29 inches and the angle in radians, $\theta$, is 2.6 radians.

Step 2 ：The formula for the length of an arc is $s = r\theta$, where $r$ is the radius of the circle. We can rearrange this formula to solve for $r$: $r = \frac{s}{\theta}$.

Step 3 ：Substitute the given values into the formula to find $r$: $r = \frac{29}{2.6}$.

Step 4 ：Calculate the value of $r$ to get approximately 11.153846153846153.

Step 5 ：Round the value of $r$ to the nearest tenth of an inch to get 11.2 inches.

Step 6 ：Final Answer: The length of the radius, $x$, to the nearest tenth of an inch is \(\boxed{11.2}\) inches.