SOLUTION: A ladder 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 l
Algebra.Com
Question 807981: A ladder 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;
Assume that a right angle is formed by the wall and the floor;
The length of the ladder is --------- feet?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
(2x+1) is the length of ladder which is the hypotenuse
2x is one leg
and x-1 is the other leg
(2x)^2+(x-1)^2= (2x+1)^2
4x^2+x^2-2x+1=4x^2+4x+1
x^2-6x=0
x^2=6x
x=6 Or x=0
x cannot be 0
5,12,13
RELATED QUESTIONS
a ladder the length 2x+1 feet is positioned agianist a wall such that the bottom is x-1... (answered by solver91311)
A ladder of length 2x+1 feet is positioned against a wall such that the bottom is... (answered by mananth)
A ladder of length 2x+1feet is positioned against a wall such that the bottom is... (answered by macston)
A ladder of length 2x+2 feet is positioned against a wall such that the bottom is x-2... (answered by stanbon)
YOu have a 5 foo ladder , and you lean it against a wall such that the bottom of th... (answered by rapaljer,tjnw79)
7. A 20-feet ladder is leaning against a wall where the top of the ladder is 18 feet from (answered by josgarithmetic)
The bottom of a 13-foot long ladder is placed 5 feet away from a wall so that the ladder... (answered by checkley71)
The bottom of a 13 foot straight ladder is set into the ground 5 feet away from a... (answered by checkley77)
A 10-foot ladder is positioned against a wall. The Base of the ladder is 6 feet from the... (answered by jim_thompson5910,scarletedwitch)