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  4. A ladder 5 m long leans against a vertical wall. The bottom of the ladder is 3 m from the wall. If the bottom of the ladder is pulled 1 m farther from the wall, how much does the top of the ladder slide down the wall

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Q. A ladder $5\,m$ long leans against a vertical wall. The bottom of the ladder is $3\,m$ from the wall. If the bottom of the ladder is pulled $1\,m$ farther from the wall, how much does the top of the ladder slide down the wall

NTA AbhyasNTA Abhyas 2022

Solution:

Given, the length of a ladder $=5m$
From the first case given,
Solution
From the second case given,
Solution
$\Rightarrow AB=4m$ $\text{and }BD=3m$
$\therefore $ $AD=4-3=1m$