AB is a vertical pole fixed to the ground, with A being the point where the base of the pole touches the ground. Due to a cyclone, the pole has been broken at C which is at a height of 24 meters from the ground. The broken part is partially attached to the pole at C. If the end of the broken part B touches the ground at D which is at a distance of 7 meters from A, then the original height of the pole is:

36m

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49m

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31m

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25m

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Solution

The correct option is B 49m
The pole makes 90 degrees with the ground.
Applying Pythagoras theorem, Length CB,
$x = \sqrt{(7^{2} + 24^{2})} x = \sqrt{625} x = 25 m$
Height of the pole
AB = AC+CB = 24 + 25 = 49 m
So, the answer is option (b).

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