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Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

Pythagoras Theorem

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Answer

Let AB be the smaller pole and CD the bigger pole.

Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops. Pythagoras Theorem, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

From figure,

⇒ CE = AB = 6 m and AE = BC = 12 m

⇒ CD = CE + ED

⇒ 11 = 6 + ED

⇒ ED = 5 m

From figure,

△ADE is right triangle.

By pythagoras theorem,

⇒ AD2 = AE2 + ED2

⇒ AD2 = (12)2 + (5)2

⇒ AD2 = 144 + 25

⇒ AD2 = 169

⇒ AD = 169\sqrt{169} = 13 m.

Hence, the distance between tops of poles is 13 m.

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