Leaving Cert DCG Geological Geometry: The accompanying map, located on

Question

The accompanying map, located on the back page of Section A, shows ground contours at five metre vertical intervals.

ABC is the centreline of a proposed track for motorsports bikes. DEFG is a proposed pit stop area. O is the centre of the circular curve.

The track has the following specifications:
- the portion from A to B is level at an altitude of 55m
- the portion from B to C is rising uniformly to a level of 60m at the finish line C
- the formation level at E, in the pit stop area, is 55m and the gradient from F to E is the same as that of the track from B to C.

Using slopes of 1 in 1 for the cuttings and 1 in 2 for the embankments, complete the earthworks necessary to accommodate the track and pit stop area between A and C on each side.

(b) On the map, P, Q and R are three points on the top surface of a stratum of ore. Q and R are at altitudes of 40m and 25m respectively. The stratum has a strike of north 54° west as indicated by the given strike line S.

(i) Using the given XY1 line already drawn on the map, determine the dip of the stratum.
(ii) Find the altitude of point P. In the space provided at the top of the map, draw the elevation of the triangular portion of the top surface of the stratum.
(iii) Determine the true angle between the line PR and the strike line S.

The accompanying map, located on the back page of Section A, shows ground contours at five metre vertical intervals - Leaving Cert DCG - Question C-1 - 2019

Worked Solution & Example Answer:The accompanying map, located on the back page of Section A, shows ground contours at five metre vertical intervals - Leaving Cert DCG - Question C-1 - 2019

Using the given XY1 line already drawn on the map, determine the dip of the stratum.

Find the altitude of point P.

Draw the elevation of the triangular portion of the top surface of the stratum.

Determine the true angle between the line PR and the strike line S.

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