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
Question C-1
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 m... show full transcript
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
Step 1
Using the given XY1 line already drawn on the map, determine the dip of the stratum.
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Answer
To determine the dip of the stratum, the XY1 line serves as a reference. The dip can be calculated using the formula:
From the coordinates of the stratum provided in the map, take the relevant altitude changes at points Q and R.
Step 2
Find the altitude of point P.
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Answer
To find the altitude of point P, utilize the previously determined dip of the stratum and the coordinates of Q and R. Apply linear interpolation if necessary, considering that P lies along the same surface slope.
Step 3
Draw the elevation of the triangular portion of the top surface of the stratum.
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In the provided space, draw the triangular elevation of the top surface using points P, Q, and R. Ensure to label the elevations accordingly at each vertex with their calculated altitudes.
Step 4
Determine the true angle between the line PR and the strike line S.
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To find the true angle between line PR and the strike line S, apply trigonometric methods. Use the slopes of PR and S to calculate the angle:
ext{Angle} = an^{-1} rac{ ext{slope of PR} - ext{slope of S}}{1 + ( ext{slope of PR} imes ext{slope of S})}
Ensure to derive slopes from the coordinates of points P, R, and the defined direction of line S.
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