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There is a narrow alley.
A ladder leans against each wall starting at the opposite corner.
One ladder is 20 ft long, the other is 25 ft.
They cross 10 ft above the ground
How wide is the alley?
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kimbonig
18 Posts
There is a narrow alley. A ladder leans against each wall starting at the opposite corner. One ladder is 20 ft long, the other is 25 ft. They cross 10 ft above the ground How wide is the alley? | ||
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ReketSomething
United States6012 Posts
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meeple
Canada10211 Posts
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meeple
Canada10211 Posts
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Urth
United States1252 Posts
let the angle between the big green line with red wall on right be theta1 the angle between the small bottom green line and pink line is also theta1 let the angle between the blue line and the red wall on the left be theta2 the angle between the small bottom blue line and the pink line is also theta2 let the alley part to the left of the pink line be q let the alley part to the right of the pink line be w edit: much easier solution sin(theta1)=(q+w)/25 sin(theta2)=(q+w)/20 tan(theta1)=q/10 tan(theta2)=w/10 4 eq 4 unknowns alley=q+w | ||
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meeple
Canada10211 Posts
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blue_arrow
1971 Posts
+ Show Spoiler + http://en.wikipedia.org/wiki/Crossed_ladders_problem + Show Spoiler + Look at the external links near the bottom for more explainations. | ||
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SonuvBob
Aiur21550 Posts
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