The apparent resistivity measured by a system of electrodes (whether operating in direct or alternating current mode) aligned parallel to the vertical resistivity component in an anisotropic medium is equal to the horizontal resistivity component. Historically, this phenomenon is described as the "paradox of anisotropy"; its existence thwarts efforts to detect the vertical resistivity component of an anisotropic medium. As mentioned, in the case of alternating current, even when the transmitters and the receivers are both vertical electric dipoles, the paradox of anisotropy is observed. However, the paradox can be circumvented by detecting the magnetic field of a vertical electric dipole transmitter using a toroidal receiver. The formulae which convert the resistive and reactive voltage signals into apparent horizontal and vertical conductivities are simple. In addition, when skin effect is small, an apparent anisotropy coefficient is estimated that is within a few percent of the actual anisotropy coefficient.