Question
A ladder 17 m long rests against a vertical wall. The
foot of the ladder is 8 m away from : the base of the wall. How high up the wall will the ladder reach?Solution
Ladder length = 17 m (hypotenuse) Distance of foot from wall = 8 m (base) Height up the wall = h (perpendicular) Using Pythagoras’ theorem: 17² = 8² + h² 289 = 64 + h² h² = 289 − 64 h² = 225 h = √225 h = 15 Answer: The ladder reaches 15 m up the wall.
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