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      Question

      A ladder is resting on the ground with the top end in

      contact with the top of a wall of a height of 12 metres. If the length of the ladder is 13 metres, at what distance from the wall is the base of the ladder on the ground?
      A 7 metres Correct Answer Incorrect Answer
      B 10 metres Correct Answer Incorrect Answer
      C 5 metres Correct Answer Incorrect Answer
      D 8 metres Correct Answer Incorrect Answer

      Solution

      Height of the wall = 12 meters (vertical leg of the triangle) Length of the ladder = 13 meters (hypotenuse of the triangle) Distance of the ladder's base from the wall = ? (horizontal leg of the triangle) We can apply the Pythagorean Theorem: (Base)┬▓ + (Height) ┬▓ = (Hypotenuse) ┬▓ Let the base = x meters x┬▓ + 12┬▓ = 13┬▓ тЗТ x┬▓ + 144 = 169 тЗТ x┬▓ = 169 тАУ 144 = 25 тЗТ x┬▓ = 25 тЗТ x = 5 m.

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