To study the propagation of electromagnetic waves in the sedimentary formations (to locate trapped miners) and also in the idealized jungle environment, a boundary value problem is formulated and the fields of a low-frequency (<100 kHZ) vertical electric dipole placed at the surface of a homogeneous anisotropic conducting half-space are evaluated. Some numerical computations have been performed and the curves are plotted to focus attention on the field modifications inside the medium due to the effect of anisotropy. Significant change in the attenuation rate is observed with the change in 1) the position of the observer, and 2) the value of the coefficient of anisotropy.