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A line of length 20 cm is placed in profile plane making an angle of 65 degrees with the horizontal. What is the length of line top view?

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A line of length 20 cm is placed in profile plane making an angle of 65 degrees with the horizontal. What is the length of line top view?

(a) 18.12 cm

(b) 8.45 cm

(c) 20 cm

(d) 22.06 cm

This question was posed to me in an online interview.

This is a very interesting question from Line contained by a Plane Perpendicular to Both the Reference Planes in section Projection of Lines of Engineering Drawing

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Correct answer is (b) 8.45 cm

Explanation: The length of line making an angle with horizontal if viewed from top view the length will be the product of length of line cosine of angle given. L= length given x cosine (65), L=20 cm x cosine (65) = 8.45 cm.

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