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# math problem; please help:[?

Ashley walk 3/4 miles east, 1 mile south, then 1/2 mile west, then 1/4 north, and finally 3/4 miles east. How many miles is she in direct line from her starting point?

### 7 Answers

- pinheadLv 41 decade agoFavorite Answer
In coordinate, east = +x , west = -x, north = +y, south = -y

If she walks from origin (0,0), her new coordinate is

(3/4 - 1/2 + 3/4, -1 + 1/4 )

(1,-3/4)

Using pythagoras

h^2 = 1^2 + (-3/4)^2

h^2 = 25/16

h = 5/4 = 1.25 miles

- Brandon ALv 51 decade ago
That could be a trick question. Youdo not specify if it is a direct line north/south or east/west or just in a place where a direct line can be created.

East/West would be 3/4 of a mile

North/South would be none

And direct line in any direction would be approx. 5 miles

- halacLv 41 decade ago
total = 1mi east, 3/4mi south

This is a 3-4-5 triangle (4/4 east, 3/4 south), so she is 5/4 miles from starting point

- 1 decade ago
easy.. just draw this on a piece of paper and using the same exact directions you have used.. you will end up having horizontal and verical lines... then you will need to connect the lines to gether and you will have some number of triangles... each vertical and horizontal line will have a value.. the diagonal value is the one you need... to find this use the pythagorus theorm.. diagonal (squared)= vertical (squared)+ horizontal (squared... then finally add up all the values you have .. simple

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- Mikey's MommyLv 61 decade ago
The square root of 1.125 miles....sorry my calc doesnt have a square root button

- Anonymous1 decade ago
hmm .....say that again?