Question 822920: A ladder is leaning against a building so that the distance from the ground to the top of the ladder is one meter more than the distance from the bottom of the ladder to the building. The length of the ladder is 5 meters. Find the unknown lengths
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
5 = sqrt( (x + 1)(x + 1) + xx )
25 = (x + 1)(x + 1) + xx
25 = xx + 2x + 1 + xx
2xx + 2x - 24 = 0
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the above quadratic equation is in standard form, with a=2, b=2, and c=-24
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 2 -24
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this quadratic has two real roots (the x-intercepts), which are:
x = 3
x = -4
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negative length doesn't make sense for this problem, so use the positive root
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answer:
distance from the bottom of the ladder to building = 3 m
distance from the ground to the top of ladder = 4 m
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