Abstract: A wedge-shaped whipstock is provided for directional well drilling which tapers from the lead end to a thick section at the bottom, and is fabricated from a tough polymeric material. An adhesive coating is applied to the outside surface of the wedge for permanent adherence of the whipstock to the surface of the drill hole. A deformable highly viscous material can fill and complement the internal wedge portion to produce a cylindrical configuration prior to use. Alternatively, or in conjunction with the deformable viscous material, a compressive element having a shaped compression face and made from a frangible material may be formed on the drill bit and/or attached to the prepared whipstock for the lowering of the tool into the drill hole and bonding the whipstock in place. The bottom surface of the whipstock is reinforced for positioning in the hole over a bridge plug or broken drill pipe.