  We investigate single-particle ballistic scattering on a rectangular barrier
in the nodal-line Weyl semimetals. Since the system under study has a
crystallographic anisotropy, the scattering properties are dependent on mutual
orientation of the crystalline axis and the barrier. To account for the
anisotropy, we examine two different barrier orientations. It is demonstrated
that, for certain angles of incidence, the incoming particle passes through the
barrier with probability of unity. This is a manifestation of the Klein
tunneling, a familiar phenomenon in the context of graphene and semimetals with
Weyl points. However, the Klein tunneling in the Weyl-ring systems is observed
when the angle of incidence differs from 90$^\circ$, unlike the cases of
graphene and Weyl-point semimetals. The reflectionless transmission also occurs
for the so-called `magic angles'. The values of `the magic angles' are
determined by geometrical resonances between the barrier width and the de
Broglie length of the scattered particle. In addition, we show that under
certain conditions the wave function of the transmitted and reflected particles
may be a superposition of two plane waves with unequal momenta. Such a feature
is a consequence of the non-trivial structure of the iso-energy surfaces of the
nodal-line semimetals.
