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A line of length 30 inches is parallel to profile plane and makes an angle of 60 degrees with vertical plane. The length of line in top view is ____ inches.

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A line of length 30 inches is parallel to profile plane and makes an angle of 60 degrees with vertical plane. The length of line in top view is ____ inches.

(a) 30

(b) 15

(c) 25.9

(d) 51.9

I had been asked this question in an online quiz.

My question is from Projection of Straight Lines Parallel to Plane in division Projection of Lines of Engineering Drawing

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Correct option is (c) 25.9

Easy explanation: Given the line is parallel to profile plane and makes 60 degrees with vertical plane. There will be no need for distance from profile plane. The length of line from top view will be sin(60) x length of the line= sin(60) x 30 inches =25.9 inches.

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