Step 1 :The problem is asking for the angle \(s\) in the interval \(\left[0, \frac{\pi}{2}\right]\) such that \(\cos s=0.7937\).
Step 2 :To find this, we can use the inverse cosine function, also known as arccos.
Step 3 :The inverse cosine of 0.7937 is approximately 0.6539288071661449 radians.
Step 4 :Rounding to four decimal places, we get \(s = 0.6539\) radians.
Step 5 :So, the final answer is \(s=\boxed{0.6539}\) radians.