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A ladder 13 m long rests against a wall with foot 5 m from the wall. The ladder reaches a height of
A10 m
B8 m
C12 m
D15 m
Answer & Solution
Correct answer: C. 12 m
1. Hypotenuse = 13 m, one leg = 5 m, other leg = h.
2. h^2 = 13^2 - 5^2 = 169 - 25 = 144.
3. h = 12 m.
4. So the ladder reaches 12 m up the wall.
_Source: Selina Concise Mathematics Class 9, Ch on Pythagoras Theorem (Mistral OCR'd PDF), section on word problems_
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