Tilt is both a noun and a verb. It has many shades of meaning, but most involve a slope or slant. When you're dizzy from eating too much, you might tilt when you walk away from the table.
The verb tilt can also indicate a slight preference for one thing over another. When Mavis and Marvin argue, you tend to tilt toward Marvin’s point of view, meaning you think he's probably right — you lean in that direction. As a noun tilt can mean a steep slant. When you climb Everest, you’ll find that the face of the mountain is at a dangerous tilt — it's very steep.