Reading Steepness from Contour Lines

Easycontourstopography
On the topographic plan shown, the contour interval is 5 ft. The contour lines in Area 1 are much more closely spaced than those in Area 2. The ground in Area 1 is best described as:
  1. AFlat ground
  2. BA steep slope
  3. CA closed depression
  4. DA body of water
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Answer: B. A steep slope

Equation: the ground slope between two contour lines is slope = rise / run = contour interval / horizontal distance between the lines. Values: the rise is the contour interval, 5 ft, from the note on the plan; every pair of neighbouring lines differs by 5 ft (135, 130, 125 …). The run is the horizontal spacing between lines measured on the plan. Step 1: the rise is the same everywhere on the map, 5 ft per line. Step 2: in Area 1 the lines are close together, so the run is short. In Area 2 they are far apart, so the run is long. Step 3: the same rise over a shorter run gives a larger slope. For example, lines 20 ft apart give 5/20 = 25%, while lines 100 ft apart give 5/100 = 5%. Area 1 is a steep slope. Widely spaced lines, as in Area 2, mean flatter ground. A closed depression would show closed loops, usually with hachure marks, and these lines are open. Contours alone do not indicate water.
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