Work vehicle and method for obtaining tilt angle

A hydraulic excavator is provided with a tilt cylinder disposition data creating unit and a bucket information computing unit. The tilt cylinder disposition data creating unit creates tilt cylinder disposition data which indicates that a disposition of a tilt cylinder is either a first disposition in which a bucket is rotated in the clockwise direction due to extension or a second disposition in which the bucket is rotated in the clockwise direction due to contraction, when viewing the bucket from a vehicle body side. The bucket information computing unit obtains a tilt angle of the bucket based on the stroke length on the basis of the tilt cylinder disposition data.