1. The problem states that $\tan(80^\circ) = 3.1475$ and asks to solve for $n$. 2. Since $\tan(80^\circ)$ is approximately 5.6713, the given value 3.1475 does not match the tangent of 80 degrees. 3. It is possible the problem wants to find an angle $n$ such that $\tan(n) = 3.1475$. 4. To find $n$, use the inverse tangent function: $n = \tan^{-1}(3.1475)$. 5. Calculating $n$ in degrees: $n \approx 72.5^\circ$. 6. Therefore, the angle $n$ that satisfies $\tan(n) = 3.1475$ is approximately $72.5^\circ$. Final answer: $n \approx 72.5^\circ$