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Question:

A ladder of 7.6 m long is standing against a wall and the difference between the wall and the base of the ladder is 6.4 m. If the top of the aldder now slips by 1.2m, then the foot of the ladder shifts by approximately:

Explanation:

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AC = ED = 7.6 and AB = 6.4
From the given diagram ; BC² = 7.6² – 6.4² = 16.8
∴ BC ≈ 4.1 m
When the ladder slips 1.2 m, its top edge would be at D at a height of 4.1 – 1.2 ≈ 2.9 m
∴ BE² = 7.6² – 2.9² ≈ 49
∴ BE ≈ 7
∴ Ladder shifts approximately 7 – 6.4 = 0.6 m.
Hence, option (b).