Discussion
A line inclined at 40 degrees to the horizontal plane can be inclined to the vertical plane by at most
Answer: A
Correct answer: 50 degrees
For any line the two true inclinations satisfy \( \theta + \phi \le 90^\circ \), the sum reaching ninety only when the line lies in a profile plane. With 40 degrees to the horizontal plane, the greatest possible inclination to the vertical plane is \( 90 - 40 = 50 \) degrees. A pair summing to more than ninety describes no line at all.
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