If Jane walks North for 3 miles, turns 45 degrees to the right, and then walks another 4 miles, how many miles will Jane be from her starting point? Give your answer as a decimal rounded to the nearest hundredth.

Plz help!!!!

1 answer

use the law of cosines. The distance z is found using

z^2 = 3^2+4^2 - 2*3*4*cos(135)

or, you can figure the x- and y-displacements, then use the distance formula as usual.

3N = (0,3)
4NE = (2.828,2.828)
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result: (2.828,5.828)