3.84. All lateral faces of the pyramid form the same angle with the base plane. Find this angle if the ratio of the total surface area of the pyramid to the area of the base is $k$. For what values of $k$ does the problem have a solution?
3.84. Instruction. Use the formula $S_{\text {lat }}=\frac{S_{\text {base }}}{\cos \alpha}$, where $\alpha$ is the angle between the base of the pyramid and its lateral faces.

Answer: $\alpha=\arccos \frac{1}{k-1}$, where $k>2$.