To find the angle $\theta$ in a right triangle when the lengths of the adjacent and opposite sides are given, we can use the tangent function from trigonometry. The tangent of an angle $\theta$ is the ratio of the length of the opposite side to the length of the adjacent side:

$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{11}{16}$

Now, to find $\theta$, we take the inverse tangent (also called arctangent) of the ratio:

$\theta = \tan^{-1}\left(\frac{11}{16}\right)$

Using a calculator to evaluate the inverse tangent:

$\theta \approx \tan^{-1}(0.6875) \approx 0.608 \text{ radians}$

Thus, the angle $\theta$ is approximately 0.608 radians.

Would you like more details on how this calculation works or have any questions about trigonometric functions?

Additional questions:

1. How does the inverse tangent function work?
2. What are the other trigonometric functions (sine, cosine) and how do they relate to the sides of a right triangle?
3. How can you convert an angle from radians to degrees?
4. How do you find the hypotenuse of a right triangle given the opposite and adjacent sides?
5. What is the significance of the tangent function in real-world applications?

Tip: Always ensure your calculator is set to radians (if you're working in radians) to avoid errors when performing inverse trigonometric functions!