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A line of length 15 cm at first lied on the vertical plane parallel to horizontal plane and then keeping one of its ends fixed turned 35 degrees with respect to horizontal plane and then turned 40 degrees with respect to vertical plane. What is the length of the line in top view?

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A line of length 15 cm at first lied on the vertical plane parallel to horizontal plane and then keeping one of its ends fixed turned 35 degrees with respect to horizontal plane and then turned 40 degrees with respect to vertical plane. What is the length of the line in top view?

(a) 9.6 cm

(b) 11.4 cm

(c) 12.28 cm

(d) 8.6 cm

The question was asked during an interview.

This intriguing question comes from Projection of Line Inclined to both the Planes in division Projection of Lines of Engineering Drawing

1 Answer

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Right option is (b) 11.4 cm

The explanation: First imagine the line in profile plane parallel to vertical plane as here we are asked to find the side view’s length so even if the line is rotated within the horizontal plane the line length will not change and also rotated with respect to the horizontal plane which is calculated as follows 15 x cos (40) =11.4 cm.

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