Question

A point P is 45mm above HP and 25mm in front of VP. Another point Q is 25mm above HP and 55mm in front of VP. The top view of the line PQ is inclined at 40o to XY line. Draw the projections of the line. Identify and find the true length and true inclinations of the line with HP and VP​

Answer 1

Answer:

Projection of Points • There are basically nine type of projections of point is space : 1. In FIRST Quadrant (Above H.P. , In front of V.P.) 2. In SECOND Quadrant (Above H.P. , Behind V.P.) 3. In THIRD Quadrant (Below H.P. , Behind V.P.) 4.

Answer 2

Answer:

The trigonometry (tan θ = opposite/adjacent), we can find the true inclination with VP as θ ≈ 23.38 degrees.

Step-by-step explanation:

From the above question,

They have given :

             To draw the projections of the line PQ and discover its authentic size and inclination with HP and VP, we can comply with these steps:

1. Draw the floor line XY and mark the factor of intersection of PQ with XY as factor R.
2. Draw the the front view (FV) and pinnacle view (TV) of factors P, Q, and R, the use of the given dimensions.
3. Draw the projections of the line PQ by using connecting the corresponding factors in the the front and pinnacle views.
4. Mark the attitude of inclination of the line with XY as forty tiers in the pinnacle view.
5. Draw projectors from factors P and Q perpendicular to XY to meet the floor line at P' and Q'.
6. Draw perpendiculars from factors P' and Q' to meet the vertical aircraft (VP) at P'' and Q''.
7. Draw projectors from factors P and Q perpendicular to HP to meet the horizontal airplane (HP) at P''' and Q'''.
8. Mark the authentic size of PQ as L, and draw the actual size line PRQ in the the front view by way of measuring the distance between P'' and Q''.
9. The attitude between the genuine size line and the horizontal airplane is the real inclination with HP, whilst the attitude between the genuine size line and the vertical airplane is the actual inclination with VP.

To locate the actual inclination of PQ with VP, we draw a proper triangle with P''Q'' as one aspect and PR as the hypotenuse.

Using trigonometry (tan θ = opposite/adjacent), we can discover the actual inclination with VP as θ ≈ 23.38 degrees.

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