optimization prob: minimum length of cable that I have to use to connect the antenna

[svoboda1]

Here is the problem : I have to find the minimum length of cable that I have to use to connect the antenna ( antenne on the picture) to the point A B C and D like to the picture.


I found this relationship :


D1+ D2 = (2^2 + X^2)^1/2 + ( (12-x)^2+1^2)^1/2


But I don't know how I can express the length of cable that connect the points A and B to the antenna. The antenna has to be on the same axis as point A and But its place can be between A and B or behind B or behind A... If someone has an idea.... I join the picture of the problem Sorry for the mistake in english..I'm from france

Ps the teacher said all the information are on the picture ...

 

[stapel]

Here is the problem : I have to find the minimum length of cable that I have to use to connect the antenna ( antenne on the picture) to the point A B C and D like to the picture.


I found this relationship :


D1+ D2 = (2^2 + X^2)^1/2 + ( (12-x)^2+1^2)^1/2


But I don't know how I can express the length of cable that connect the points A and B to the antenna. The antenna has to be on the same axis as point A and But its place can be between A and B or behind B or behind A... If someone has an idea.... I join the picture of the problem Sorry for the mistake in english..I'm from france

Ps the teacher said all the information are on the picture ...

For what do A, B, C, and D stand? Is the one variable "X" related to the other variable "x"? If so, how? Is the "Antenna" located at the "broken" point in the red line? For what do the "1" and the "2" stand? What other information (textual) is included? (There must be other, textual information; otherwise, you would have no idea what is the meaning of the graphic.)

Please be complete. Thank you!

 

[Deleted member 4993]

Here is the problem : I have to find the minimum length of cable that I have to use to connect the antenna ( antenne on the picture) to the point A B C and D like to the picture.


I found this relationship :


D1+ D2 = (2^2 + X^2)^1/2 + ( (12-x)^2+1^2)^1/2


But I don't know how I can express the length of cable that connect the points A and B to the antenna. The antenna has to be on the same axis as point A and But its place can be between A and B or behind B or behind A... If someone has an idea.... I join the picture of the problem Sorry for the mistake in english..I'm from france

Ps the teacher said all the information are on the picture ...

What is the relationship between "length of the cable" and D1 & D2?

 

[Steven G]

Here is the problem : I have to find the minimum length of cable that I have to use to connect the antenna ( antenne on the picture) to the point A B C and D like to the picture.


I found this relationship :


D1+ D2 = (2^2 + X^2)^1/2 + ( (12-x)^2+1^2)^1/2


But I don't know how I can express the length of cable that connect the points A and B to the antenna. The antenna has to be on the same axis as point A and But its place can be between A and B or behind B or behind A... If someone has an idea.... I join the picture of the problem Sorry for the mistake in english..I'm from france

Ps the teacher said all the information are on the picture ...

Stapel is correct that everything is not listed in your question. If you are asking where to put the antenna then given points C and D it is easy. Put the antenna on the line which connects line C to D. Set up axes and then figure out where pts C and D are located. Then get the equation of this line. You should be able to figure out based on where you but your axes one coordinate for where you are placing the antenna. Use the equation of the line to find the other coordinate.