you walk one mile E, square root 2 miles N.E. and 2 miles S. how far are you from where you were?

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you walk one mile E, square root 2 miles N.E. and 2 miles S. how far are you from where you were?

2006-09-17 16:42:59 · 2 answers · asked by jose u 1 in Science & Mathematics ➔ Mathematics

2 answers

Let us add the displacements vectorially.
sqrt(2) mile northeast = 1 mile east + 1 mile north
So you walked 1 mile east+ (1 mile east+ 1 mile north) + 2 miles south.
So actually you walked 2 miles east and 1 mile south.
You are sqrt(5) mile away from your starting point.

2006-09-17 16:48:14 · answer #1 · answered by astrokid 4 · 0⤊ 0⤋

1.5 miles.

2006-09-17 23:47:46 · answer #2 · answered by Anonymous · 0⤊ 0⤋