anonymous
  • anonymous
A 10 foot ladder is leaned against a building so that the distance from the bottom of the ladder to the building is 2 feet less than the distance from the top of the ladder to the ground. What is the distance from the bottom of the ladder to the building? Hint: you must use the Pythagorean theorem.You must construct an algebra equation that contains a variable.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
x^2+(x-2)^2 =100 then solve for x
anonymous
  • anonymous
x = height of ladder from gound x-2 = dtsnce from ground x^2 + (x-2)^2 = 10^2 solve for x
anonymous
  • anonymous
You have to solve for x-2, not x if those are your chosen lengths.

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anonymous
  • anonymous
solving will give x= 8
anonymous
  • anonymous
right - after you have x then distance from ground = x -2
anonymous
  • anonymous
as expanding the equation that will be shown as : x^2-2x-48=0 ===> x=8 or x=-6 ===> so x=8

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