A refrigerator appliance includes a cabinet with a door positioned at the front of the cabinet. The refrigerator appliance also includes a hinge having a hinge bracket coupled to the cabinet. The hinge bracket includes a lateral plate. A pivot pin is received in the lateral plate. The door is rotatably coupled to the pivot plate. A lateral surface of the door is spaced apart from the lateral plate of the hinge bracket along the vertical direction by a height. An adjustable spacer is positioned between the lateral plate of the hinge bracket and the lateral surface of the door to adjust the height. The adjustable spacer includes a rotatable washer and a fixed washer abutting the rotatable washer. The rotatable washer includes a first inclined engagement surface and a second inclined engagement surface. The fixed washer includes a third inclined engagement surface and a fourth inclined engagement surface.