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

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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)   (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.

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