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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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Given Let the length of the ladder be L m.

By using the Pythagoras theorem, we can find the length of the ladder.

6+ 8= L2

L2 = 36 + 64 =100

L = 10

Thus, the length of the ladder is 10 m.

When 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.

8+ H= 102

H= 100 – 64 = 36

H = 6

Thus, the height of the ladder is 6 m.

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