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Q: Patrice walks 4.0 blocks east and then turns north and jogs 6.0 blocks. She then turns west and walks another 4.0 blocks. What is the distance she has traveled?

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3 blocks east

Using Pythagoras' theorem the diagonal distance is 15 blocks

I Use A Ruler For Measuring The Distance Between Blocks In A Wall Or Floor

It depends on the route that you take. There is nothing in the question to suggest that the distance of interest is the shortest distance. In real life, the quickest route is not necessarily the shortest since travelling on highways may be faster even if longer. In such cases the relevant distance may not be the shortest. Also, you might wish to take the "scenic" route. In any built-up area the shortest meaningful distance between two points will not be "as the crow flies": the taxicab metric (for example 3 blocks East and 4 blocks North), which was developed by Minkowsky, is more appropriate. On the surface of a sphere, such as the Earth, the shortest distance is an arc of the great circle. In most cases this is not the straight line on a map.

The total displacement will be calculated using Pythagoras theorem. The distance traveled will form the two sides of the triangle. Hence we have to calculate the hypotenuse side using the formula Square root of (2 power 2 + 1 power 2)=Square root(5)=2.23

Related questions

3 blocks east

3 blocks west

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

They have traveled two blocks.

Using Pythagoras' theorem the diagonal distance is 15 blocks

It depends on how many blocks you placed and how far you have traveled.

Miles measures distance. Square blocks measures area. Therefore, you can not compare the two.

If Meg walks 5 blocks south, then turns around and walks 8 blocks back, her displacement is 3 blocks.

0.25 miles

Essentials Command: /reach (distance)

A block is the distance from one road intersection to the next. It is not a fixed distance. This distance is often about 100 meters, but it may vary from one block to the next, and of course from one city to another. Brasilia, I have been told, has "superblocks" of about 500 meters each - 5 times the distance otherwise considered typical.Number of blocks walking is an American expression expressing distances in a city. Blocks do not have a set distance; however in New York City, the average length of a north-south block is 1/20th of a mile, or 264 feet. An east-west block is about 1/5th of a mile, or 1056 feet.

It would decrease because the distance between the blocks has increased.