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An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ is NOT possible?

  1. $\mathbf{P}$
  2. $\mathbf{Q}$
  3. $\mathbf{R}$
  4. $\mathbf{S}$

2 Answers

6 6 votes
Correct Answer is Option B)

Q  is never possible because sides of the triangle must start from the corner.
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