1. ## Optimization

A contractor wishes to brace a newly built wall by supporting it with a wooden beam. Unfortunately, the new wall is only 4 feet from a 5 ft. high fence and so the beam must go over the fence as shown in the sketch below. Determine the length of the shortest beam that can be used.

|<----------------------Wall
|
|\
|..\
|....\<--------------------Beam
|......\
|......|\
|......|..\
|......|<----------------5 ft
|......|......\
----------------------------------------------
...^...
...|....
...|....
...4 ft

Thanks

2. Originally Posted by doctorgk
A contractor wishes to brace a newly built wall by supporting it with a wooden beam. Unfortunately, the new wall is only 4 feet from a 5 ft. high fence and so the beam must go over the fence as shown in the sketch below. Determine the length of the shortest beam that can be used.

|<----------------------Wall
|
|\
|..\
|....\<--------------------Beam
|......\
|......|\
|......|..\
|......|<----------------5 ft
|......|......\
----------------------------------------------
...^...
...|....
...|....
...4 ft

Thanks
see post #6 here. you want to minimize the function i gave for L(t) (with your problem's numbers of course)

does that help?