Question 1189468
A ladder 10 feet long leans against a vertical wall, touching it 8 feet above the ground. What is the slope of the ladder? 
Can a person 6-feet tall pass under the ladder 1 feet away from the wall? 
Can the same person pass under the ladder 2 feet away from the wall? 
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It's a 6-8-10 right triangle.
With the intersection of the ground and the wall at the Origin, the ladder has a slope of -8/6 = -4/3
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The equation of "the ladder" is y-8 = (-4/3)x
y = -4x/3 + 8
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At x=1 (1 foot from the wall) y = 7 2/3 feet so a 6-foot person would clear.
At x=2, y = 5' 4"