SOLUTION: A LADDER REST AGAINT A WALL THE TOP TOUCHES AT 18 FT FIND THE LENGTH OF THE LADDER IF IT IS 6 FT MORE THAN ITS DISTANCE FROM THE WALL

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: A LADDER REST AGAINT A WALL THE TOP TOUCHES AT 18 FT FIND THE LENGTH OF THE LADDER IF IT IS 6 FT MORE THAN ITS DISTANCE FROM THE WALL      Log On


   

Question 327028: A LADDER REST AGAINT A WALL THE TOP TOUCHES AT 18 FT FIND THE LENGTH OF THE LADDER IF IT IS 6 FT MORE THAN ITS DISTANCE FROM THE WALL
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let the distance from wall be x
Ladder length = x+6
Height at which ladder touches the wall = 18 feet.
They form a right triangle with ladder as hypotenuse
x2+182= (x+6)2
x2+324= x2+12x+36
x2-x2-12x=-324+36
-12x=-288
x=-288/-12
x=24 distance from the wall.
Length of ladder = 24+6 = 30 feet
..
CHECK
18^2+24^2= 30^2
900 = 900