The value of $\frac{11}{\tan(36^\circ)}$ rounded to 5 decimal places is 15.14020.

Would you like further details or have any other questions?

Here are some related questions:

1. What is the tangent of 36 degrees?
2. How do we convert degrees to radians?
3. What is the cosine of 36 degrees?
4. How does tangent relate to sine and cosine?
5. What are some practical applications of trigonometric ratios?

Tip: Always make sure your calculator is set to the correct mode (degrees or radians) when performing trigonometric calculations!