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A vertical pole AB measuring 5 meters snaps at point C. The pole remains in contact at C and the top of the pole touches the ground at point T, a distance of 3 meters from A.  Find the length AC, in meters, the point where the pole snapped.

 

 Dec 1, 2019
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Call the distance from A to C =x
The distance from C to T = 5 - x, which is the hypotenuse of a right triangle.
(5 - x)^2 = x^2 + 3^2, solve for x
x =AC =8/5 =1 3/5 meters.

 Dec 1, 2019

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