Problem 4.8 Projection of Straight Lines – A line PQ 80 mm long is parallel to V.P. and inclined to H.P. by 55°. The end point P is 20 mm below H.P. and 30 mm behind V.P. Draw the projections of the line PQ*.*

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**Procedure:**

**Procedure:**

* Step-1* Draw a horizontal line, which is x-y line of some suitable length.

* Step-2* Draw a horizontal line of the length 80 mm at the distance 30 mm above the x-y line, and give the notations as p and q

_{2 }at the ends of the line.

* Step-3* From the points p & q

_{2 }draw two projectors in down ward direction up to the distance equal to 20 mm below x-y. And mark the points as p’ – q

_{1}’, as shown in the figure. Then draw a straight line between the point p’ – q

_{1}’.

* Step-4* From the point p’, draw a line of length 80 mm and at an angle 55°from the line p’ – q

_{1}’. And give the notation at the other end as q’. This is elevation of the line PQ. And its inclination with the x-y line is represented by the letter α.

* Step-5* From the point q’, draw a vertical projector up to the line p-q

_{2 }and mark the notation as q. This is plan of the line PQ. And its inclination with the x-y line is represented by the letter β.

* Step-6* Give the dimensions by any one method of dimensions and give the notations as shown into the figure. And make a list of the True Length & Angles made by the line PQ as shown into the figure.