Question 218246: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9ft. Find the length of the ladder if the length is 3ft more than its distance from the wall.
Found 2 solutions by RAY100, drj:
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Let d=distance from wall in ft
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ladder is then (d+3) long in feet
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We now have a right triangle with legs,,9,,and d,,,,with hypotenuse (d+3)
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Using the Pythagorean Theorem,,c^2 =a^2 + b^2,,,
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(d+3)^2 = d^2 +9^2
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d^2 +6d +9 = d^2 +81
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6d = 72
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d=12 ft,,,,ladder is 12+3 = 15 ft
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checking ,,,,9^2 +12^2 = 81 +144 =225 = 15^2,,,,ok
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Answer by drj(1380)  (Show Source):
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