A narrow, uniform cylindrical tube of length \(L\) is completely filled with an incompressible liquid of density \(\rho\). The tube is held at an angle \(\theta\) with respect to the horizontal ground, as shown in the diagram. The top of the tube is open to the atmosphere, where the air pressure is \(P_0\). Which of the following is a correct expression for the absolute pressure \(P_{bot}\) at the bottom end of the tube?