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# jennifer walks 3 miles north and then 2 miles east. ?

determine her displacement from her initial location, magnitude and direction.

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- Anonymous1 decade ago
The two trips are perpendicular. So just use Pythagorean theorem: square of hypotenuse = sum of the squares of the other sides

magnitude = sqrt(3^2 + 2^2) = sqrt(13) = 3.6 miles northeast

direction can be specified by angle. Let's take the angle from the horizontal. We know that the side opposite to the angle is 3, one adjacent to it is 2.

So Tan(angle) = 3/2

angle from horizontal = arctan(1.5) = 56 degrees

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