  We provide a complete description of the angular distribution of gluons in a
medium-induced QCD cascade. We identify two components in the distribution, a
soft component dominated by soft multiple scatterings, and a hard component
dominated by a few hard scatterings. The typical angle that marks the boundary
between these two components is determined analytically as a function of the
energy of the observed gluon and the size of the medium. We construct the
complete solution (beyond the diffusion approximation) in the regime where
multiple branchings dominate the dynamics of the cascade in the form of a power
series in the number of collisions with the medium particles. The coefficients
of this expansions are related to the moments of the distribution in the
diffusion approximation and are determined analytically. The angular
distribution may be useful in phenomenological studies of jet shapes in
heavy-ion collisions.
