  We report on the detection of weak gravitational lensing of faint, distant
background galaxies by Cl 1358+62, a cluster of galaxies at a redshift of
z=0.33. The observations were made using the HST. The measured shear is
consistent with a velocity dispersion of 780+-50 km/s. The weak lensing mass is
slightly lower than dynamical estimates and agrees well with X-ray mass
estimates. The mass distribution is elongated similar to the light. The axis
ratio of 0.30+-0.15 and position angle of -21+-8 degrees were measured directly
from the observed shear and agree very well with a previous strong lensing
analysis. We estimate the mass-to-light ratio to be 90+-13 h50 M_sun/L_Vsun.
The HST point spread function is highly anisotropic at the edges of the
individual chips. This systematically perturbs the shapes of objects and we
present a method for applying the appropriate correction.
