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Q: A runner travels 8 blocks north and 15 blocks east. How far is the runner from her starting point?

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That is incorrect. The distance travelled north cancels out the distance travelled south. Therefore - he only travels three blocks east.

False

Ralph is one block north of his starting place, although he walked eleven blocks to get there. The Coordinate SolutionIf you consider the starting point at (0,0) and movement north /east as positive, and south / west as negative, you create the following movement. (0,0) + (4,0) + (0,2) + (-3, 0) + (0, -2) = (1,0) or 1 block north of the start.

3 blocks west

You finish 2 blocks east and 8 blocks south of your starting point.

In order to answer the question you need to assume that the block lengths remain the same if you move North or South, or if you move East or West. Is that a realistic assumption?

Using X and Y as the map coordinates, where X is east and west (positive or negative) and Y is north and south (positive and negative), and the point 0,0 as a starting point, you can show the following: * 14 blocks north to 0,14 * 16 blocks east to 16, 14 * 26 blocks south to 16, -12 The final location is 12 blocks south and 16 blocks east of the starting point. If there were a straight diagonal street, the truck would be 20 blocks from the start (square root of 122 and 162), just east of a SE direction.

Kyoto will be 4 blocks west with reference to his/her starting point

(6-3)^2 - 4^2= d^2 d^2=9+16 = 25 d=5 blocks

Two blocks east of their starting position.

It's a total of seven blocks... You would need to walk 5 blocks south, and 2 blocks east to end at your original starting place !

To complete the circle you would have to walk 10 blocks south and 1 block east to return to your starting point, 11 blocks.

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