Calculus: Optimization problem (fence and ladder)

A fence eight feet tall runs parallel to a tall building at a distance of four feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?

[@isabellemonjaraz7066]

Did anyone else get 16.65

[@stoxv1995]

I love you

[@alecescobar9900]

man that was the most complicated calculus question I've ever seen jeez

[@petroslazanis8466]

Why am I watching this 1am lol.

[@fxmows]

I'm watching this at 1 am O.o

[@SzH_502]

12.03 you multiply by dominator then you forgot it forward can you tell me how did you eliminate it?

[@FFODKCLOC]

greatest professor ever where is he

[@farianoor2542]

for the length equation, why did you square 4+x and y?

[@daniel_an]

I am using the Pythagorian theorem to find the length, which is sqrt of a^2 + b^2