The invention provides an embolic protection device for removing emboli from a blood vessel in a patient's body. The device comprises an elongate host element, an embolic protection element having a collapsed configuration and an expanded configuration, and a flexible tether connected to a distal end of the host element and to a proximal portion of the embolic protection element. The tether allows the host element to move axially and laterally relative to the embolic protection element over a limited range of motion when the embolic protection element is in an expanded configuration. The embolic protection device has a landing zone of 4 cm or less.