Answer
$$s \approx 1.3497$$
Work Step by Step
$$\eqalign{
& \sec s = 4.5600 \cr
& {\text{Solving for }}s \cr
& s = {\cos ^{ - 1}}\left( {\frac{1}{{4.5600}}} \right) \cr
& {\text{Using a calculator into radian mode }} \cr
& s \approx 1.3497 \cr} $$