**Hiking Distance Problem***Two hikers started at the same location. One traveled 2 miles east and then 1 mile north. The other traveled 1 mile west and then 3 miles south. At the end of their hikes, how many miles apart are the two hikers? [The use of the accompanying grid is optional.]***Explanation of Diagram:**The image includes a grid that can be used to visually map the movements of the two hikers. Each square on the grid represents a unit distance (e.g., 1 mile). By plotting the movements on this grid, you can geometrically determine the distance between the two hikers' final positions.To solve, calculate how far each hiker has traveled from their starting point and use the grid to track their routes. Use the Pythagorean theorem if necessary to find the direct distance between their final positions.

Answered: 5 Two hikers started at the same…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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5 Two hikers started at the same location. One traveled 2 miles east and then 1 mile north. The other traveled 1 mile west and then 3 miles south. At the end of their hikes, how many miles apart are the two hikers? [The use of the accompanying grid is optional.]