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The length of line placed in profile plane and making an angle of 40 degrees with the horizontal is 10cm from top view. What is the actual length?

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The length of line placed in profile plane and making an angle of 40 degrees with the horizontal is 10cm from top view. What is the actual length?

(a) 7.66 cm

(b) 6.4 cm

(c) 13.05 cm

(d) 15.55 cm

The question was posed to me in my homework.

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

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Correct answer is (c) 13.05 cm

The best explanation: The length of line making an angle with horizontal if viewed from front view the length will be the product of length of line cosine of angle given. X * cosine (40) =10 cm, L= 10/ cosine (40)= 13.05 cm.

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