A model is proposed for determining the distances to falling interstel
lar clouds in the galactic halo by measuring the cloud velocity and co
lumn density and assuming a model for the vertical density distributio
n of the Galactic interstellar medium. It is shown that falling clouds
with N(H I) less than or similar to 10(19) cm(-2) may be decelerated
to a terminal velocity which increases with increasing height above th
e Galactic plane, This terminal velocity model correctly predicts the
distance to high-velocity cloud Complex M and several other interstell
ar structures of previously determined distance. It is demonstrated ho
w interstellar absorption spectra alone may be used to predict the dis
tances of the clouds producing the absorption. If the distance, veloci
ties, and column densities of enough interstellar clouds are known ind
ependently, the procedure can be reversed, and the terminal velocity m
odel can be used to estimate the vertical density structure (both the
mean density and the porosity) of the interstellar medium. Using the d
ata of Danly and assuming a drag coefficient of C-D congruent to 1, th
e derived density distribution is consistent with the expected density
distribution of the warm ionized medium, characterized by Reynolds. T
here is also evidence that for z greater than or similar to 0.4 kpc on
e or more of the following occurs: (1) the neutral fraction of the clo
ud decreases to similar to 31 +/- 14%, (2) the density drops off faste
r than characterized by Reynolds, or (3) there is a systematic decreas
e in C-D with increasing z. Current data do not place strong constrain
ts on the porosity of the interstellar medium.