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A line 70 mm long parallel to the vertical plane and inclined at 30 degrees to the horizontal shows a plan length of about

  • A.70 mm
  • B.35 mm
  • C.80.8 mm
  • D.60.6 mm

Answer: D

Correct answer: 60.6 mm

The plan foreshortens the line by the cosine of its inclination to the horizontal plane: \[ 70 \cos 30^\circ = 70 \times 0.866 = 60.6\ \mathrm{mm}. \] Using the sine instead gives 35 mm, which is the height the line rises rather than the length it covers on plan.

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