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A plane figure whose projected area is half its true area is inclined to the plane of projection at

  • A.arc cos of 2 degrees
  • B.60 degrees
  • C.30 degrees
  • D.45 degrees

Answer: B

Correct answer: 60 degrees

The projected area is the true area times the cosine of the inclination, so \[ \cos\theta = 0.5, \qquad \theta = 60^\circ. \] The distractor of 30 degrees comes from taking the sine instead; at 30 degrees the figure would project at 0.866 of its area, not half.

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