A \( 5 \mathrm{~m} \) long ladder is placed leaning towards a vertical wall such that it reaches...

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A \( 5 \mathrm{~m} \) long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point \( 4 \mathrm{~m} \) high. If the foot of the ladder is moved \( 1.6 \mathrm{~m} \) towards the wall, then the distance by which the top of the ladder would slide upwards on the wall is
a. \( 0.6 \mathrm{~m} \)
b. \( 0.2 \mathrm{~m} \)
c. \( 0.4 \mathrm{~m} \)
d. \( 0.8 \mathrm{~m} \)
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