The end projectors of a line AB is 40 mm. The point A is 24 mm above HP and 10 mm in front of VP. Point B is 46 mm above HP and 46 mm in front of VP. What will be the True length of the line?

The end projectors of a line AB is 40 mm. The point A is 24 mm above HP and 10 mm in front of VP. Point B is 46 mm above HP and 46 mm in front of VP. What will be the True length of the line? Correct Answer 57 mm

Refer the figure below and the following steps- • Draw the XY line. Draw two line perpendicular to XY line separated by a horizontal distance of 40 mm. • Along the first line mark points a’ and a 24 mm above and 10 mm below XY line. • Along the second line mark b and b’ 46 mm above and below XY line. • Draw a reference line X1 Y1 parallel to line ab to represent the AVP. • Through a and b, draw projectors to X1 Y1 line and extend it. • Mark a2’ such that 3-a2’ = 5-a’. similarly mark b2’ such that 4-b2’ = 6b’. • Join a2’-b2’ to obtain the true length of the line. • The inclination of the line a2’-b2’ with X1Y1 line is the true inclination of the line with HP. • Draw X2Y2 parallel to the front view a’b’ and project the auxiliary top view a1b1 in the similar manner. The inclination of the line a1-b1 with X2Y2 line is the true inclination of the line with VP. By measurement, the following dimensions are obtained: True length of the line is 57 mm.