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 = 2,148 feet, WY = 1,074 feet, and XZ = 6,444 feet, what is the length of VZ, the distance across the lake?
A.
358 feet
B.
269 feet
C
4,296 feet
D
3,222 feet