math problem

In the figure, a triangular plane ABC leans against a vertical wall CD at C with A on the horizontal ground AD. It is given that A,B,C and D all lie on the same plane. E is a point on AD such that BE ⊥ AD. ∠CAD = 40° , ∠BAD = 25°, ∠BCD = 30° and BC = 50cm. Find BD.

Figure http://aycu21.webshots.com/image/38420/2001348733965970118_rs.jpg