The floor lamp casts a shadow.
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| 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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