### Q14: A hexagonal plane of the side 30 mm has a corner on the ground. Its surface is inclined at 45^{0} to the H.P. and the top view of the diagonal through the comer which is in the H.P. makes an angle of 60^{0} with the V.P. Draw/projections.

**Solution:**

**Steps :**

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- Initially assume the hexagonal plane is resting on H.P. such that its nearest edge is parallel to V.P. Draw its

(T.V.)_{1} ‐ As a regular hexagon of 30 mm side.

(F.V.)_{1} ‐ As a line *a* _{2} ‘ *d*_{2} ‘.

2. Inclined (F.V.)_{1} at 45^{0} with *xy* line keeping all the points at the same position. This is (F.V.) _{2} .

3. With the help of (F.V.)_{2} and (T.V.)_{1}, draw (T.V.)_{2}.

4. Inclined the diagonal *a*_{1} *d*_{1} of (T.V.)_{2} 60^{0} with *xy* line keeping all the points in the same position. This is the final T.V.

5. With the help of the final top view and (F.V.)_{2}, draw the final front view. Now Hexagon *a* ‘ *b* ‘ *c* ‘ *d* ‘ *e* ‘ *f* ‘ ‐ Final front view

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Hexagon *abcdef* ‐ Final top view

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