Two poles of height 9 m and 14 m stand vertically 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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Question

Two poles of height 9 m and 14 m stand vertically on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

KnowledgeBoat · Accepted Answer

Let AB be the smaller pole and CD the bigger pole. From figure, ⇒ CE = AB = 9 m and AE = BC = 12 m ⇒ CD = CE + ED ⇒ 14 = 9 + ED ⇒ ED = 14 - 9 ⇒ ED = 5 m From figure, △ADE is right angled triangle. By pythagoras theorem, Hypotenuse2 = Base2 + Height2 ⇒ AD2 = AE2 + ED2 ⇒ AD2 = (12)2 + (5)2 ⇒ AD2 = 144 + 25 ⇒ AD2 = 169 ⇒ AD = ⇒ AD = 13 m. Hence, the distance between their tops is 13 m.

Mathematics

Two poles of height 9 m and 14 m stand vertically 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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Mathematics

Two poles of height 9 m and 14 m stand vertically 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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(i) AC² = AD² + 3 CD²
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