Given line is parallel to profile plane and makes 45 degrees with profile plane. There will be no need for distance from a profile plane. The length of line from top view will be sin (45) x length of line= sin (45) x 25 cm = 17.67 cm

Isometric view is that three dimensions of a solid are not only shown in one view. Here given line is present in vertical and horizontal plane so line will coincide in front view and top view.

Given line perpendicular to vertical plane. Front view shows as point and distance from xy reference line and vertical reference line. The distance from horizontal plane is given in question as 0.5 m.

Given a line is perpendicular to horizontal plane, perpendicular distance from line to vertical plane is 8 inches and perpendicular distance from line to profile plane is 5 inches. So distance from line to vertical reference line if it is viewed from front view is 5 inches.

The line is making 155 degrees is equal to line making 25 degrees as 180-155 =25. The length of line from top view will be cosine of actual length. L * cosine (25) =3 cm, L= 3/ cosine (25)= 3.31 cm.

True length of line parallel to vertical plane and making angle with horizontal can be of two values eir from top view or side view but from front view length will be given length. As here it is given side view L= 3/sin (35).

First imagine line in profile plane parallel to horizontal plane as here we are asked to find top views length so even if line is rotated within horizontal plane line length will not change and also rotated with respect to horizontal plane which is calculated as follows 15 x cos (30) = 12.99 cm.

If a line is perpendicular to vertical plane n its vertical trace coincides with its front view which is a point. It has no horizontal trace because line is parallel to horizontal plane line will not touch horizontal plane.

Given line is of any length but we are asked distance from line to xy reference line in front view which is distance from line to horizontal plane even if line may inclined to or planes.

As angle is between line and horizontal plane height is length of line in front view. If angle with vertical is given length will be product of actual length and cosine of angle between line and vertical plane.