Two points A and B are in the H.P. The point A is 30 mm in front ofthe V.P., while B is behind the V.P. The distance between their projectorsis 75 mm and the line joining their top views makes an angle of 450 withxy. Find distance of the point B from the V.P.

To find the distance of point B from the V.P., we can follow these steps:

Step 1: Understand the given information:

• Point A is 30 mm in front of the V.P.
• Point B is behind the V.P.
• The distance between their projectors is 75 mm.
• The line joining their top views makes an angle of 450 with xy.

Step 2: Visualize the problem:

• Draw a horizontal line to represent xy.
• Mark the V.P. on this line.
• Place point A 30 mm in front of the V.P.
• Place point B behind the V.P.
• Draw a line connecting the top views of A and B, making a 450 angle with xy.

Step 3: Use the given information to solve for the distance of point B from the V.P.:

• Since point A is in the H.P., its top view will be on xy.
• The line connecting the top views of A and B makes a 450 angle with xy, which means it is parallel to xy.
• Therefore, the distance between the top views of A and B is the same as the distance between their projectors, which is 75 mm.

Step 4: Measure the distance between the top views of A and B:

• Measure the distance between the top views of A and B on xy. This distance is 75 mm.

Step 5: Determine the distance of point B from the V.P.:

• Since the distance between the top views of A and B is 75 mm, and point A is 30 mm in front of the V.P., we can subtract 75 mm from 30 mm to find the distance of point B from the V.P.
• Therefore, the distance of point B from the V.P. is -45 mm.

Note: The negative sign indicates that point B is behind the V.P.