A ladder 13 m long leans against a vertical wall with its foot 5 m from the wall. How high up the wall does it reach?
Answer and explanation
Correct answer: A. 12 m
- Step 1: The ladder is the hypotenuse of a right-angled triangle: height squared = 13 squared - 5 squared = 144.
- Step 2: Height = 12 m.
Answer
12 m.
Why not the others: 8 m: the lengths were subtracted instead of using Pythagoras. 18 m: the lengths were added. 144 m: the square root was not taken.
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