Answer :

Let the distance of the point on ground be x m from the 3 m pole.

⇒ This distance of the point on ground from 4 m pole is (5-x) m. (∵ the distance between the poles is 5 m.)

Now the length of the rope is AB + BC.

By Pythagoras Theorem

AB^{2} = AD^{2} + DB^{2}

⇒ AB^{2} = 3^{2} + x^{2}

⇒

Similarly,

Now, let the length of rope be a R

⇒ R = AB + BC

⇒

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