Line AB is 90 mm long and it is 30°& 40° inclined to HP & VP respectively. End A is 20 mm above HP and 15 mm in front of VP. Draw projections. Line is in Istquadrant.

To draw the projections of line AB, we will follow these steps:

Step 1: Draw the XY reference line as the ground line or horizontal line. This will represent the horizontal plane (HP).

Step 2: From the left end of the XY reference line, mark point A. Point A is 20 mm above the XY reference line (HP), so draw a vertical line upward from point A.

Step 3: From point A, draw a line at an angle of 30° to the XY reference line. This line represents the inclined line AB in the first quadrant.

Step 4: Now, draw the vertical plane (VP) perpendicular to the XY reference line. The VP is represented by a vertical line intersecting the XY reference line at point O.

Step 5: From point O, draw a line at an angle of 40° to the XY reference line. This line represents the inclined line AB in the first quadrant.

Step 6: To find the true length of line AB, draw a line parallel to the XY reference line from the point where the inclined line AB intersects the VP. This line will intersect the line drawn from point A at point B.

Step 7: Measure the length of line AB, which is given as 90 mm. Mark this length on the line drawn from point B.

Step 8: Connect point A to point B to complete the projection of line AB.

Step 9: To find the front view projection, draw a line perpendicular to the XY reference line from point B. This line will intersect the line drawn from point O at point B'.

Step 10: Connect point A to point B' to complete the front view projection of line AB.

Step 11: To find the top view projection, draw a line parallel to the XY reference line from point B. This line will intersect the line drawn from point O at point B''.

Step 12: Connect point A to point B'' to complete the top view projection of line AB.

Now, you have successfully drawn the projections of line AB.