The value of $\cos \theta = 1.47$ is not possible because the range of the cosine function is $-1 \leq \cos \theta \leq 1$. Since 1.47 is outside this range, there is no real solution for $\theta$.

If this was a mistake, you might want to check the given value again. Let me know if you need help correcting it!

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Related Questions:

1. What is the range of the cosine function?
2. How do you find $\theta$ when given $\cos \theta = x$?
3. What happens when the given cosine value is outside the valid range?
4. How do we use inverse trigonometric functions to find angles?
5. What are some common mistakes when solving trigonometric equations?

Tip: Always check whether the given value is within the valid range before applying inverse trigonometric functions!