Find the value of $s$ in the interval $\left[0, \frac{\pi}{2}\right]$ that satisfies the given statement. $\cos s=0.6096$
\[
s=\square \text { radians }
\]
(Round to four decimal places as needed.)

Step 1 ：The question is asking for the angle $s$ in the interval $[0, \frac{\pi}{2}]$ such that $\cos s = 0.6096$.

Step 2 ：We can find this by using the inverse cosine function, also known as arccos. The arccos function gives the angle whose cosine is a given number.

Step 3 ：However, the arccos function returns the angle in radians, so we need to convert it to degrees. We can do this by multiplying the result by $\frac{180}{\pi}$.

Step 4 ：After getting the result in degrees, we need to convert it back to radians to match the question's requirement. We can do this by multiplying the result by $\frac{\pi}{180}$.

Step 5 ：Doing these calculations, we find that $s = 0.9152$ radians.

Step 6 ：Final Answer: The value of $s$ in the interval $[0, \frac{\pi}{2}]$ that satisfies the given statement $\cos s=0.6096$ is $s=\boxed{0.9152}$ radians.