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how do i solve this?

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how do i solve this?

by grandh01 » Wed Aug 15, 2012 12:28 pm
Starting from point O on a flat school
playground, a child walks 10 yards
due north, then 6 yards due east, and
then 2 yards due south, arriving at
point P. How far apart, in yards, are
points O and P?
(A) 18
(B) 16
(C) 14
(D) 12
(E) 10
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by GMATGuruNY » Wed Aug 15, 2012 1:25 pm
grandh01 wrote:Starting from point O on a flat school
playground, a child walks 10 yards
due north, then 6 yards due east, and
then 2 yards due south, arriving at
point P. How far apart, in yards, are
points O and P?
(A) 18
(B) 16
(C) 14
(D) 12
(E) 10
Let point O be at the origin.
10 yards due north = (0,10).
6 yards due east = (6,10).
2 yards due south = (6,8) = point P.
The distance from (0,0) to (6,8) = the hypotenuse of a 6-8-10 triangle = 10.

The correct answer is E.
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