Jarvis needs to determine the distance across a lake. however, he can't measure this distance directly over the water. so, he set up a situation where he could use the measurements of two similar triangles to find the distance across the lake. he selects a point x such that xz is perpendicular to vz, where v is a point at the other end of the lake. he then picks a point y on xz. from point y, he finds point w on xv such that wy is parallel to vz. if xy = 2,938 feet, wy = 1,469 feet, and xz = 8,814 feet, what is the length of vz, the distance across the lake?