SOLUTION: A pole 10m long leans against a wall. the bottom of the pole is 6m from the wall. If the bottom of the pole is pulled away x m so that the top slides down by the same amount, find

Algebra ->  Pythagorean-theorem -> SOLUTION: A pole 10m long leans against a wall. the bottom of the pole is 6m from the wall. If the bottom of the pole is pulled away x m so that the top slides down by the same amount, find       Log On


   

Question 574654: A pole 10m long leans against a wall. the bottom of the pole is 6m from the wall. If the bottom of the pole is pulled away x m so that the top slides down by the same amount, find x.
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Use Pythagorean Theorem
%28x%2B6%29%5E2%2B%28sqrt%2810%5E2-6%5E2%29-x%29%5E2=10%5E2
%28x%2B6%29%5E2%2B%288-x%29%5E2=10%5E2
x%5E2%2B12x%2B36%2Bx%5E2-16x%2B64=100
2x%5E2-4x=0
2x%28x-2%29=0, disregard 0.
Answer: highlight%28x=2%29