SOLUTION: what will be the length of a longest pole keep in a room of length 8 meter,base 6 meter & height 10 meter?

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Question 798867: what will be the length of a longest pole keep in a room of length 8 meter,base 6 meter & height 10 meter?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The longest possible pole would barely fit with one end on a corner of the floor, and the other end stuck against the opposite corner of the ceiling.
Its shadow, along the diagonal of the room's floor measures
sqrt%28%288m%29%5E2%2B%286m%29%5E2%29=sqrt%2864m%5E2%2B36m%5E2%29=sqrt%28100m%5E2%29=10m
The length of the pole is
m=highlight%2810sqrt%282%29m%29.
That's about 14.14m.