Question 218246
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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