Question

Two corridors whose widths are 64 units and 27 units respectively meet at a right angle. Calculate the length of the longest rigid beam that can pass from one corridor to the other when it is slid along the floor.

Answer 1

I'm not sure where to even start... we don't have any angles or anything, so...

Answer 2

That's all I can do for you:)

Answer 3

The diagram we get looks like that

Answer 4

@sourwing

Answer 5

\[\cos a=\frac{ 64 }{ x }\]
\[\sin a=\frac{ 27 }{ y }\]

Solver for x and y in terms of TRIG a, add, differentiate, and enjoy.