Tape measure with moving tape exit port

A tape measure includes a housing that includes a frame and a mouthpiece body moveable mounted to the frame. The mouthpiece body includes a tape exit port that is moveable, advantageously rotatably, and may include an external recess aligned with the exit port. A measuring tape is supported by the housing and selectively deployable from the housing via the exit port. The movable exit port may allow the tape to enter the housing along a line that is tangent to the coil of tape rotatably supported by the housing. This tangency is advantageously maintained as the size of the coil changes due to the amount of tape therein. Other aspects and methods are also disclosed.