Answer
95.54 degrees
or
1.67 rad
Work Step by Step
Given-
radius, r = 9 ft
arc, s = 15 ft
angle, $\theta$ = ?
We know that -
$\theta$ = $\frac{s}{r}$
= $ \frac{15}{9}$ = $ \frac{5}{3}$
= 1.67 rad
= $ \frac{5}{3} \times\frac{180}{\pi}$ degrees
= $ \frac{5}{3} \times\frac{180}{3.14}$ degrees
= 95.54 degrees