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An insect \(8 \ m\), away initially from the foot of a tall lamp post which is \(6 \ m\), crawls towards it moving through a distance. If its distance from the top of the lamp post is equal to the distance it has moved, how far is the insect away from the foot of the lamp post?
 
Answer:
 
The insect is \(m\) away from the foot of the lamp post.