Answer
$17.7$ ft
Work Step by Step
The length of each arc intercepted by consecutive pair of spokes can be found by using the formula $s=r\theta$ where $s$ is the length of the arc, $r$ is the radius of the circle and $\theta$ is the angle in radians:
$s=r\theta=76(\frac{2\pi}{27})=17.68\approx17.7$ ft