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Ladders Without Snakes (Posted on 2003-04-21) Difficulty: 5 of 5
There is a 6 metres wide alley. Both walls of the alley are perpendicular to the ground. Two ladders, one 10 metres long, the other 12 metres, are propped up from opposite corners to the adjacent wall, forming an X shape. All four feet of each ladder are firmly touching either the corner or the wall. The two ladders are also touching each other at the intersection of the X shape.

What is the distance from the point of intersection from the ground?

See The Solution Submitted by Ravi Raja    
Rating: 2.8571 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Interesting problem | Comment 2 of 10 |
Drawing a graph of how I interpret this problem, I get two lines (for 0 < x < 6):
1) y=-(4/3)x + 8
and
2) y=((sqrt108)/6)x

Substituting 2) into 1), then the result back into 2), I get a height of (8*sqrt(108)) / (8 + sqrt(108)) or approx 4.5m
  Posted by jude on 2003-04-21 09:05:33
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