SOLUTION: An explorer hikes 4 miles due east, 7 miles due south, then 3 miles due east, then 1 mile due north, and finally 2 miles due west. How far is he from his original position? (This i
Algebra ->
Length-and-distance
-> SOLUTION: An explorer hikes 4 miles due east, 7 miles due south, then 3 miles due east, then 1 mile due north, and finally 2 miles due west. How far is he from his original position? (This i
Log On
Question 798196: An explorer hikes 4 miles due east, 7 miles due south, then 3 miles due east, then 1 mile due north, and finally 2 miles due west. How far is he from his original position? (This is a pythagorean theorem problem) Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! Here's a map showing the explorer's path.
Each square in the grid is 1 mile by 1 mile.
The explorer goes along the red arrow path from point A to point B.
The distance (as the crow flies) from A to B is the hypotenuse (AB) of the green right triangle ABC. and so --> is about 7.8 miles.
NOTE:
Without drawing the map, we could calculate total distance to the East as the sum of the eastward stretches of the path: .
Similarly, we could calculate total distance to the South as the sum of the southward stretches of the path: .
