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Question
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,
hypotenuse2 = 52 + 122
h2 = 25 + 144
h2 = 169
h = 13
Therefore, the distance between the tips will be 13m.
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