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March 27, 2017

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A person walks 15.0° north of east for 3.70 km. How far due north and how far due east would she have to walk to arrive at the same location?

  • Physics - ,

    It's easiest to just draw a diagram.

    Start out at (0,0) and draw a line 3.7 long, at an angle of 15deg up from horizontal.

    Now you have a right triangle, with hypotenuse 3.7, and
    height = 3.7 sin 15 = 0.96 (north)
    base = 3.7 cos 15 = 3.57 (east)

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