Can will be in one location or not?

Question

Smallville is 7 miles south of Gotham. Will is 8 miles from Gotham and 6 miles from Smallville. Draw a map showing where Will could be. Be sure to show a scale for your map. Explain why you draw your map the way you do. Can you pinpoint Will to one location, or not?

Answer 1

  On a sheet of paper, place a point in the upper left corner. Label the point Gotham.  Then, using a ruler, draw a vertical line 7 inches long. Place  point at the end of the line, and label it Smallville. From that point, draw a line to the right 6 inches in length at a slight upward angle. Label that point Will. Then, draw a diagonal line from Gotham to Will. You should have a drawing similar to this one. (this site will not let me draw a triangle such as the one I described; this one is the best I can do)

 

 

Gotham      |\

                 |  \

                 |    \

      7mi      |     \   8mi

                 |        \

                 |          \

Smallville   |_______\

                   6mi

Each of the vertical dashes ( | ) represents 1 mile. So, the scale is 1 inch = 1 mile

 

Yes, Will's location can be pin pointed.