A waterfall in a park is located 6 miles east and 3 miles north of the visitors center. There is a picnic site 1 mile east and 2 miles north of the visitors center. How long is a trail that goes directly from the waterfall to the picnic site?
Graph in a Cartesian plane the points representing the places involve. Set the visitors center in the origin of the point such that the coordinates to where the waterfall is located is (6, 3) and that of the picnic site is (1, 2). Solve for the distance,
d = sqrt ((x2 - x1)² + (y2 - y1)²
d = sqrt ((6 - 1)² + (3 - 2)²) = sqrt 26
The distance is approximately equal to 5 miles.