We examine the relative orientation of radio jets and dusty tori surrounding the AGN in powerful radio galaxies at z > 1 . The radio core dominance R = P _ { core } ^ { 20 GHz } / P _ { extended } ^ { 500 MHz } serves as an orientation indicator , measuring the ratio between the anisotropic Doppler-beamed core emission and the isotropic lobe emission . Assuming a fixed cylindrical geometry for the hot , dusty torus , we derive its inclination i by fitting optically-thick radiative transfer models to spectral energy distributions obtained with the S pitzer Space Telescope . We find a highly significant anti-correlation ( p < 0.0001 ) between R and i in our sample of 35 type 2 AGN combined with a sample of 18 z \sim 1 3CR sources containing both type 1 and 2 AGN . This analysis provides observational evidence both for the Unified scheme of AGN and for the common assumption that radio jets are in general perpendicular to the plane of the torus . The use of inclinations derived from mid-infrared photometry breaks several degeneracies which have been problematic in earlier analyses . We illustrate this by deriving the core Lorentz factor \Gamma from the R - i anti-correlation , finding \Gamma \ga 1.3 .