A ladder 100 feet long is leaning against a vertical wall Its lower end is 60 foot from the bottom of the wall The side of the largest cubical box that can be placed between the wall and the ladder without disturbing the ladder is (to the nearest foot). Choose the correct choice from the following options:	A) 26	B) 34	C) 21	D) 40	E) 30
if we consider the 2d image then the ladder , the wall and base making a triangle ,which height =80 foot   now we have to calculate the largest square inside the triangle.   let x be the side of square.   then,there are two triange of one height=x ,base=(60-x) and the other of height=(80-x) and base=x and a squre   by condition   (60-x)*x/2+x*(80-x)/2+x^2=80*60/2   x=34.2   ANSWER:34
<result>B</result>
A ladder 100 feet long is leaning against a vertical wall Its lower end is 60 foot from the bottom of the wall The side of the largest cubical box that can be placed between the wall and the ladder without disturbing the ladder is (to the nearest foot).