1. **State the problem:** Find the value of $\cos^{-1}(0.32)$. 2. **Recall the definition:** $\cos^{-1}(x)$ is the angle $\theta$ in radians such that $\cos(\theta) = x$ and $\theta \in [0, \pi]$. 3. **Evaluate:** Using a calculator or inverse cosine table, compute $$\theta = \cos^{-1}(0.32) \approx 1.25$$ 4. **Check the provided options:** The value 1.25 matches one of the options given (1.25). **Final answer:** $$\cos^{-1}(0.32) \approx 1.25$$