Question 1043175: You are at the center of square forest of 60 km width. If you decide to get out walking in straight lines with the route actually travelled as follows: 5 km south, then 10 km west, then 15 km north, 20 km east, 25 km south, and so on. How far would you have to walk before you get out of the forest? And which side of the forest would you exit?
Answer by LinnW(1048)   (Show Source):
You can put this solution on YOUR website! We can solve with a row,column grid
The center is at approximately 30,30
N/S E/W 30 30
1 5S 5 0 35 30
2 10W 0 -10 35 20
3 15N -15 0 20 20
4 20E 0 20 20 40
5 25S 25 0 45 40
6 30W 0 -30 45 10
7 35N -35 0 10 10
8 40E 0 40 10 50
9 45S 45 0 55 50
10 50W 0 -50 55 0
11 55N -55 0 0 0
12 60E 0 60 0 60
13 65S 65 0 65 60
Notice that after iteration 10, we are on the East edge of the property.
We do not actually leave the property until iteration 13
At the end of iteration 13 we will have traveled 455 miles. We exited
the property at just over 450 miles. We exit South of the far Southeastern
corner of the property.
Moving South is positive, Moving East is positive.
The numbers are compressed to the left. I would like to be able to
preserve spacing, but do not currently know how.
The right two numbers in each row represent the current row,column
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