Posted by crystal on Saturday, November 26, 2011 at 3:04am.
Let the woman be x feet from the pole, and the shadow tip be s feet in front of the woman.
By similar triangles,
s/6 = (x+s)/13
s = 6/7 x
ds/dt = 6/7 dx/dt = 6/7 * 7 = 6
The shadow is moving at 6ft/s from the woman, and she's moving 7ft/s from the pole.
so, the shadow moves at 13ft/s regardless of the distance from the pole.
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