We study the adsorption of organic molecules on the close-packed facets of the coinage metals, illustrating how accurately adsorption heights can be described using recent advances of the van der Waals density functional (vdWDF), with the so called optPBE/vdWDF, optB86b/vdWDF, vdWDF2 and rev/vdWDF2 functionals. The adsorption of two prototypical aromatic hydrocarbons is investigated, and the calculated adsorption heights are compared to experimental literature values from normal incident X-ray standing wave absorption as well as a state-of-the art semi-empirical method. It is shown that both the optB86b/vdWDF and rev/vdWDF2 functionals describe adsorption heights with an accuracy of 0.1Å compared to experimental values, and are concluded as a reliable methods of choice for related systems.