SOLUTION: A ladder 10ft long leans against a wall, touching it 8ft above the ground. What is the slope of the ladder? Can a 6ft tall pass under the ladder 1ft away from the wall? Can the s

Algebra ->  Linear-equations -> SOLUTION: A ladder 10ft long leans against a wall, touching it 8ft above the ground. What is the slope of the ladder? Can a 6ft tall pass under the ladder 1ft away from the wall? Can the s      Log On


   



Question 1120947: A ladder 10ft long leans against a wall, touching it 8ft above the ground. What is the slope of the ladder? Can a 6ft tall pass under the ladder 1ft away from the wall? Can the same person pass under the ladder 2ft away from the wall?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Draw this
the hypotenuse is the ladder's length or 10 feet.
The height of the wall is 8 feet.
The distance the ladder is from the wall at the bottom is 6 feet, because this is a 6-8-10 right triangle.
The slope is 8/6 or 4/3, the sign being dependent upon which way one is looking at the ladder.
1 foot away from the wall, the height is 8-4/3 or 6 2/3 feet. Yes, a person could pass under the ladder here.