A topographic map has a contour interval of 20 m and a scale of 1 cm : 200 m. On the map the straight‑line distance between points A and B measures 2.5 cm and there are four contour lines between them (including the line through A but not B). Elevation at A is 120 m.

(a) Find the actual horizontal distance between A and B in metres.
(b) Determine the elevation of point B.
(c) Calculate the average gradient (%) of the direct route from A to B.
(d) A road must not exceed a gradient of 10%. An alternative route is drawn on the map 6.0 cm longer than the direct line. Does the alternative route satisfy the gradient limit? Show all work.

Question

A topographic map has a contour interval of 20 m and a scale of 1 cm : 200 m. On the map the straight‑line distance between points A and B measures 2.5 cm and there are four contour lines between them (including the line through A but not B). Elevation at A is 120 m.

(a) Find the actual horizontal distance between A and B in metres.
(b) Determine the elevation of point B.
(c) Calculate the average gradient (%) of the direct route from A to B.
(d) A road must not exceed a gradient of 10%. An alternative route is drawn on the map 6.0 cm longer than the direct line. Does the alternative route satisfy the gradient limit? Show all work.

Accepted Answer

a) 500 m; b) 200 m; c) 16%; d) Gradient ≈ 4.7%, which is acceptable

Neco 2024 Geography Question 24

Answer Options

About This Question

Master the Exam!