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Question

The foot of a ladder is 6 m away from a wall and its top reaches a window 8 m above the ground. If the ladder is shifted in such a way that its foot is 8 m away from the wall, to what height does its top reach?

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Solution


Let the length of the ladder be L m.By using the Pythagoras theorem, we can find the length of the ladder.62+82=L2L2=36+64=100L=10Thus, the length of the ladder is 10 m.


When the ladder is shifted:Let the height of the ladder after it is shifted be H m.By using the Pythagoras theorem, we can find the height of the ladder after it is shifted.82+H2=102H2=100-64=36H=6Thus, the height of the ladder is 6 m.

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