SOLUTION: A 10 foot long pole leans against a wall. The bottom is 6 feet from the wall. How much farther should the bottom be pulled away from the wall so that the top moves the same amount

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Question 1052456: A 10 foot long pole leans against a wall. The bottom is 6 feet from the wall. How much farther should the bottom be pulled away from the wall so that the top moves the same amount down the wall?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Making a diagram would help.

h, how high against the wall to start
x, the movement distance along the ground and down the wall
Pythagorean Theorem Formula for right triangle
10, hypotenuse for before and after

Initially: h%5E2%2B6%5E2=10%5E2
New: %28h-x%29%5E2%2B%286%2Bx%29%5E2=10%5E2

Nonlinear system in the two variables h and x.
That should get you well-started.

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system%28h=8%2Chighlight%28x=2%29%29