Question

a distance between 6m and 11 m poles is 12 m then the distance between the top edges of poles

Answer 1

Answer:

Two poles of height 6m and 11m stands on a plane ground, where distance between their feet is 12m, the distance between the tops of the two poles is 13 m. The Pythagoras theorem works only for right-angled triangles.

Step-by-step explanation:

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Answer 2

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13m

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Given :- Two poles :-

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎AB = 11 m

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎CD = 6 m

Distance between both poles :-

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎BD = 12 m

Then:-

Create a line segment CE parallel to line BD

So:-

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎AE = AB – CD

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎AE = 11 – 6

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎AE = 5

In right angled triangle AEC :-

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎

${(AC)}^{2} = {(EC)}^{2} + {(AE)}^{2}$

${(AC)}^{2} = {12}^{2} + {5}^{2}$

${(AC)}^{2} = 144 + 25$

${(AC)}^{2} = 169$

$(AC) = \sqrt{169}$

AC = 13 m

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