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**Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m;**

find the distance between their tips.

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#### Solution

The diagram of the given problem is given below,

We have Pythagoras theorem which states that in a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the remaining two sides.

Here, 11 - 6 = 5m ...( Since DC is perpendicular to BC )

base = 12 cm

Applying Pythagoras theorem we get,

hypotenuse^{2} = 5^{2} + 12^{2}h^{2} = 25 + 144

h^{2} = 169

h = 13

Therefore, the distance between the tips will be 13m.

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