There are various ways to tackle this. I will present a method using trig.
Then, (look at the two triangles made by the ladder, wall, and ground).
if
which gives the absolute minimum for L because
If
Hence,
Hello I am a thirty something college student who must present a solution to a word problem in class monday. Please help with each step of the solution. Find the length of the shortest ladder that will reach from the ground, over a wall 8ft high, to the side of a building 1 ft behind the wall. That is minimize the legnth L=L1 plus L2