Q.A line NS 80 mm long has its end N, 10 mm above the HP and 15 mm in front of the VP. The other end 5 is 65 mm above the HP and 30 mm in front of the VP. Draw the projections of the line and find its true inclinations with the HP and the VP. 

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Q.A line NS 80 mm long has its end N, 10 mm above the HP and 15 mm in front of the VP. The other end 5 is 65 mm above the HP and 30 mm in front of the VP. Draw the projections of the line and find its true inclinations with the HP and the VP. 

SOLUTION 

Steps:

1. Mark the projections of one of the points, say N.

2. Draw ob and cd parallel to xy, 65 mm above xy and 50 mm below xy respective

3. ob and od are the loci of the end s (Fig).

4. With nas centre and 80 mm as radius, draw an arc meeting ab at sj.

5. Projects to sy on the line drawn through n parallel to xy.

6. With n as centre and radius nsı, draw an arc to cut cd at s.

7. Projects to s’ on ab. Join n’s’ and ns. Then, ns and n’ s’ are the top view and front view respectively of the line NS.

8. The angle of inclination of n’s with xy is the true inclination of the line with the HP.

9. With n as centre and 80 mm as radius, draw an arc to cut cd at $2.

10. Then, the angle that nag makes with the horizontal is the true inclination of the line with the VP.
Here θ = 42° Φ= 26°

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