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in Triangles by (56.3k points)

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.

(Hint: Find the hypotenuse of a right triangle having the sides (11 – 6) m = 5 m and 12 m)

1 Answer

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Best answer

Let the distance between the tops of the poles is the distance between points A and B.

We can see from the given figure that points A, B and C form a right triangle, with AB as the hypotenuse.

By using the Pythagoras Theorem in △ABC, we get

(11−6)+ 12= AB2

AB2 = 25 + 144

AB2 = 169

AB = 13

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

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