On a map Highmount is 5 inches from pine hill. If the map scale is 1inch=3miles. what is the actual distance between the towns?
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Let , coordinate of points are P( h,k ).
Also , k = 3h + 1
Distance of P from origin :
Distance of P from ( -3, 4 ) :
Now , these distance are equal :
Solving above equation , we get :
Hence , this is the required solution.