Problema Solution
a ladder of length 2x+1 feet is positioned against a wall such that the bottom is x-1 feet away from the 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 provided by our tutors
4x2 + (x-1)2 = (2x+1)2
5x2 + 1 - 2x =4x2 + 1 + 2x
x2 - 2x = 0
x= 0 or 2
Length of ladder = 2x+1 = 5 feet