Answer
$\approx65.4$ ft
Work Step by Step
Following example 2, the formula $s=r\theta$ requires the angles to be in radius. $\theta$ is currently in degrees, so we need to multply it by $\pi/180$ to obtain it in radius. The diameter of the wheel is $250$ feet, thus its radius is $125$ feet.
Hence here the arc length: $s=r\theta=125(30)\pi/180=\frac{125\pi}{6}\approx65.4$ ft