two poles of height 7m & 12m stand on a plane ground if the distance between their feet is 12m find the distance between their tops.

**Given:** Poles DC and AB of length 7 and 12 meters respectively.

Now, according to the figure,

CD = EB = 7 m

EA = AB – BE = 12 m – 7 m = 5 m

Also BC = DE = 12 m

Now, using Pythagoras theorem in ΔADE

AD^{2} = AE^{2} + DE^{2}

= 5^{2} + 12^{2}

= 25 + 144

= 169

∴ Distance between the top of the poles is 13 meters.

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