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?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)² + (Height) ² = (Hypotenuse) ² Let the base = x meters x² + 12² = 13² ⇒ x² + 144 = 169 ⇒ x² = 169 – 144 = 25 ⇒ x² = 25 ⇒ x = 5 m.
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