#### Answer

$5.05$ m

#### 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: First, we need to convert the angle from degrees to radians,
$60^{\circ}=60(\frac{\pi}{180})=\frac{\pi}{3}$ radians
Step 3: Substituting the values of the question into the formula,
$s=(4.82)(\frac{\pi}{3})$
Step 4: Simplifying, $s= \frac{241\pi}{150}=5.05$ m