SOLUTION: A tracking device that is installed in a mobile phone indicates that its user is located at a point whose coordinates are (18,14). In the tracking device, each unit on the grid is

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Question 1175755: A tracking device that is installed in a mobile phone indicates that its user is located at a point whose coordinates are (18,14). In the tracking device, each unit on the grid is equivalent to 7km. If the phone user came from a place whose coordinates are (2,6), how far has he travelled?
Answer by ikleyn(52781) About Me  (Show Source):
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A tracking device that is installed in a mobile phone indicates that its user is located at a point
whose coordinates are (18,14). In the tracking device, each unit on the grid is equivalent to 7km.
If the phone user came from a place whose coordinates are (2,6), how far has he travelled?
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On the tracking device, the displacement vector is (16,8)  
(16 = 18-2 units in x-coordinate and 8 = 14-6 units in y-coordinate).


So, the traveled distance in this scale is  sqrt%2816%5E2%2B8%5E2%29 = 8%2Asqrt%285%29 = 17.889 units.


With the scale factor 7 kilometers to one unit, the real distance is  7*17.889 = 125.22 kilometers.    ANSWER

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