Answer
$26.18$ feet
Work Step by Step
We have $\theta =75^{\circ}$
The length of the arc is given by (first convert $\theta$ into radians):
$s=r\theta$
$s=\dfrac{75}{360^{\circ}} \times 2 \pi \times 20= \dfrac{25 \pi}{3}$
$s=\dfrac{25 \pi}{3}=\dfrac{25 \times 3.142}{3}=26.18$ ft