The high-velocity cloud complex M has been detected in absorption toward the halo star BD + 38-degrees-2182 (z = 4.4 kpc) with the International Ultraviolet Explorer (IUE) echelle spectrograph. Absorption is seen out to - 120 km s-1 in the saturated resonance lines of C II, Si II, and 0 I. Data on highly ionized species of C IV and Si IV are too noisy to determine the presence or absence of absorption from highly ionized gas at the velocities of complex M. The BD + 38-degrees-2182 data are compared to similar data for HD 93521, which lies 27 arcmin away, but at a z-distance of only 1.5 kpc. The absorption line detection toward BD +38-degrees-2182, along with the lack of observed absorption at v < - 85 km s-1 toward HD 93521 places the distance to complex M at 1.5 < z < 4.4 kpc. Complex M has a mass between 10(4) and 10(5) M., and the lower limits on the column densities of C, 0, and Si are between 1.0 and 1.4 dex below solar metallicity.