SOLUTION: A ladder of length 2x+1 feet is positioned against a wall such that the bottom is x−1 feet away from a wall. The distance between the floor and the top of the ladder is 2x fe
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Question 885580: A ladder of length 2x+1 feet is positioned against a wall such that the bottom is x−1 feet away from a wall. The distance between the floor and the top of the ladder is 2x feet.
Find the length, in feet, of the ladder.
The length of the ladder is ____________feet.
Assume that a right angle is formed by the wall and the floor.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
By Pythagoras theorem
(x-1)^2+(2x)^2=(2x+1)^2
x^2-2x+1 +4x^2=4x^2+4x+1
x^2-6x=0
x(x-6)=0
x=0 OR 6
length of ladder = 6*2 = 12 feet
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