Problem 2.170

Two vertical plates submerged partially in a wetting liquid form a wedge with a very small angle $\delta \varphi .$ The edge of this wedge is vertical. The density of the liquid is $\rho,$ its surface tension is $\alpha,$ the contact angle is $\theta .$ Find the height $h,$ to which the liquid rises, as a function of the distance $x$ from the edge.