  Recently, Colomo and Sportiello introduced a powerful method, known as the
\emph{Tangent Method}, for computing the arctic curve in statistical models
which have a (non- or weakly-) intersecting lattice path formulation. We apply
the Tangent Method to compute arctic curves in various models: the domino
tiling of the Aztec diamond for which we recover the celebrated arctic circle;
a model of Dyck paths equivalent to the rhombus tiling of a half-hexagon for
which we find an arctic half-ellipse; another rhombus tiling model with an
arctic parabola; the vertically symmetric alternating sign matrices, where we
find the same arctic curve as for unconstrained alternating sign matrices. The
latter case involves lattice paths that are non-intersecting but that are
allowed to have osculating contact points, for which the Tangent Method was
argued to still apply. For each problem we estimate the large size asymptotics
of a certain one-point function using LU decomposition of the corresponding
Gessel-Viennot matrices, and a reformulation of the result amenable to
asymptotic analysis.
