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Coordinate Geometry

Expert replies
by Pawan Ramnani » Sat Sep 10, 2016 9:58 am
Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles due south, 2 miles due west and 11 miles due north, finally stopping at town T. if the entire region is flat. What is the straight line distance in miles between Town S and T?

a) 10
b) 8 , root 2
c) root 157
d) 14
e) 24
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Source: — Problem Solving |

by [email protected] » Sat Sep 10, 2016 9:41 pm
Hi Pawan Ramnani,

I'm going to give you some 'hints' so that you can try this question again on your own:

1) Try drawing a picture 'to scale' - you'll have 4 lines: right, down, left, then up.
2) Draw a line connecting the starting point with the ending point. That line is the diagonal of a RIGHT TRIANGLE.
3) Using the drawing, you can determine the 'base' and the 'height' of that right triangle.
4) Use the Pythagorean theorem to find the diagonal.

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
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