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Topographic Mapping Questions and Answers

31.

A digital elevation model that records the height of the bare ground, excluding buildings and trees, is properly called

Answer: C

Correct answer: a digital terrain model

The terrain model is the bare earth, with buildings, trees and other surface features removed. The surface model is what the sensor first sees, tops of trees and roofs included. The distinction is critical in use: a flood model or an earthworks calculation needs the terrain model, while a line-of-sight or solar study needs the surface model.

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32.

State whether the following is true or false.
A digital surface model and a digital terrain model of the same area are identical over open farmland.

Answer: D

With no vegetation or buildings to intervene, the first return and the ground are the same surface. The two diverge exactly where something stands above the ground, which is why forests and towns show the largest differences.

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Answer: A

Timing the pulse gives the range, and combining that with the position and attitude of the aircraft gives a coordinate for each return. Because some pulses reach the ground through gaps in a canopy, it can map terrain beneath forest.

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34.

Consider the following statements about elevation data.
1. A digital surface model includes vegetation and buildings.
2. LiDAR can record more than one return from a single pulse.
3. Contours drawn from a digital model are more accurate than the model.

Answer: B

Correct answer: 1 and 2 only

Statements 1 and 2 are correct: the surface model includes vegetation and buildings, and a LiDAR pulse spreading over a footprint can return from a canopy and again from the ground beneath, which is exactly how the bare earth is extracted. Statement 3 is impossible - contours derived from a model inherit its errors and add interpolation of their own, so they can never be better than the data they came from.

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35.

On a topographic sheet, a road and a river crossing at the same point are distinguished as a bridge or a ford by

Answer: C

Topology alone cannot say whether one feature passes over the other or through it, so the crossing carries its own symbol. Reading a crossing without checking that symbol is how a route is planned through an unfordable river.

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Answer: D

The spot height is printed as a number and needs nothing further. Gradient, area and intervisibility all require measurement and working before an answer can be given, and the last of them needs a profile drawn along the line of sight.

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37.

A path climbs from a contour marked 300 m to one marked 420 m over a ground distance of 1.2 km. What is its average gradient?

Answer: A

The rise is 120 metres over 1,200 metres of ground, which reduces to 1 in 10. Converting the distance to metres before dividing keeps the two quantities in the same unit, and forgetting to do so gives a gradient a hundredfold too gentle.

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38.

A slope of 1 in 20 is what percentage gradient, and roughly what angle?

Answer: B

Correct answer: 5 per cent, about 3 degrees

\[ \frac{1}{20} = 0.05 = 5\%, \qquad \arctan(0.05) = 2.86^{\circ}. \] Per cent and degrees are easily confused because they are close for gentle slopes - a 5 per cent grade is under 3 degrees - but they diverge sharply as the slope steepens, since 100 per cent is 45 degrees and no percentage corresponds to vertical.

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39.

State whether the following is true or false.
A gradient of 100 per cent corresponds to a slope of 90 degrees.

Answer: C

A gradient of 100 per cent means the ground rises as far as it advances, which is 45 degrees. A vertical face has an infinite percentage gradient, since it advances no distance at all, which is why cliffs are shown by symbol rather than by contour.

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Answer: D

The term describes the ground itself, not how it has been drawn. Gently rolling country with little height range is subdued relief, however boldly the contours happen to be printed. The word describes the landscape rather than the cartography.

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