The floor lamp casts a shadow.

Straight line AB is drawn on a wide, spacious floor. A lamp is at a height of 8 m above point
C, which is located on line AB. Line CD is perpendicular to line AB. A rectangular solid 5 m by 3 m by 4 m is on the floor as shown. The box is 2 m from line AB and a meters from line CD. Assume the lamp is a point source and will cast a perfect shadow. Given that the rectangular solid casts a shadow with area 90 m², determine the distance a (in meters). 
 Does the 2m distance from the wall matter to the shape of the shadow?
 How does the distance a change the area of the shadow?
 What shape is that shadow on the floor?
 Are the edges of the shadow guaranteed to parallel with the edges of the box?
 How far away is that box from the light?
It's another Five Triangles puzzle
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