The wall of a building is to be braced by a beam that must pass over a parallel fence 5 feet high and 4 feet from the building. Find the length of the shortest beam that can be used.

I got ananswer of 10.91feet for the beam, and was wondering if this is correct, number seems a bit odd (though looking into the back of my book that seems common on these problems..) sadly, this is an even problem, and i did alot of work wanna know if i got it right.