The transition-matrix (

-matrix) approach to acoustic scattering is used to investigate scattering by high-aspect-ratio solid elastic targets. Results for several different materials are presented over a

range of 0.5-16.0 for targets with aspect ratios from 1 to 10. It is demonstrated that the phase velocity of the Rayleigh resonances on solid spheroids is closely related to the shear speed of the material. In addition, high-

resonant peaks are shown to dominate the backscattered response for many high-aspect-ratio targets.