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

Answers (1)

 The initial distance between wall and ladder is 6m.
  ht. of the wall at which the ladder touches is 8m.
 By Pythagoras theorem, length of ladder=√ 8²+6²
                                        length of ladder =10m
now, 
the distance of ladder from ground = 8m
and we know that lt. of ladder =10m
by Pythagoras theorem,
ht. of the wall at which the ladder touches is √10²-8²
                                                                      = 6m

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