The spin-1/2 stacked triangular antiferromagnet CsCu1-xCoxCl3 with 0.015<x<
0.032 undergoes two phase transitions at zero field. The low-temperature ph
ase is produced by doping a small amount of Co2+. In order to investigate t
he magnetic structures of the two ordered phases, the neutron elastic scatt
ering experiments have been carried out for the sample with x approximate t
o 0.03. It is found that the intermediate phase is identical to the ordered
phase of CsCuCl3, and that the low-temperature phase is an oblique triangu
lar antiferromagnetic phase in which the spins form a triangular structure
in a plane tilted from the basal plane. The tilting angle, which is 42 degr
ees at T=1.6 K decreases with increasing temperature, and becomes zero at t
he lower transition temperature T-N2 = 7.2 K. An off-diagonal exchange term
is proposed as the origin of the oblique phase.