#### Answer

$11.9$ ft

#### Work Step by Step

Step 1: The formula to be used here is $s=r\theta$ where $s$ is the length of the arc intercepted on a circle of radius $r$ by a central angle of measure $\theta$ radians.
Step 2: Substituting the values of the question into the formula,
$s=(3.24)(\frac{7\pi}{6})$
Step 3: Simplifying, $s= \frac{189\pi}{50}=11.9$ ft