Skip to content
IGCSE·Tuition
Geography · Lesson

Draw a cross-section from supplied elevations

You are given a list of heights along a line and a blank grid, and the first decision is where to begin.

On this page
  1. How do you draw a cross-section, step by step?
  2. Worked example
  3. The mistake to watch for
  4. Check yourself
  5. Where this leads next

A cross-section is a side view of the land along a line. Set the horizontal axis to match the line, choose an even vertical scale, plot each height, then join the points. It appears when a question supplies heights along a transect or map line and asks for a drawn profile.

This lesson uses ideas from gradient and contour reading in scale, distance and relief.

How do you draw a cross-section, step by step?

  1. Draw the horizontal axis the same length as the line on the map, and mark each supplied position.
  2. Choose the vertical scale so the tallest height fits the grid, with equal steps. Label the axis with heights.
  3. Plot each point at its horizontal position and calculated vertical height.
  4. Join the points with a smooth line and label the highest and lowest points.
  5. Give a title that names the line, for example “Cross-section from A to B”.

Worked example

The data are invented for practice. A line from A to B is 8 cm long on a 1:25 000 map. Heights are supplied every 2 cm.

Distance from A (cm)02468
Height (m)608012010060

Horizontal axis: 8 cm long, marked at 0, 2, 4, 6 and 8 cm.

Vertical scale: start the axis at 40 m. Let 1 cm stand for 20 m. Heights above the start are 60 − 40 = 20, 80 − 40 = 40, 120 − 40 = 80, 100 − 40 = 60 and 60 − 40 = 20 m.

Plot heights: 20 ÷ 20 = 1 cm, 40 ÷ 20 = 2 cm, 80 ÷ 20 = 4 cm, 60 ÷ 20 = 3 cm and 1 cm. The peak is at 4 cm along, at 4 cm above the axis start.

Vertical exaggeration: across, 1 cm is 250 m. Up, 1 cm is 20 m. The exaggeration is 250 ÷ 20 = 12.5 times.

The mistake to watch for

Mistaken plot: the student plots every height as if 1 mm stood for 1 m, so 120 m goes 12 cm above the axis.

The vertical axis has no planned scale, so the section does not fit the page and the shape is wrong.

The correction is to decide the vertical scale first, then convert each height. Check the highest point fits on the grid before plotting the rest.

A second slip is to extend the line past the last supplied point. The section ends where the data end.

Cross-section from A to BTo-scale cross-section for the worked example: horizontal axis 8 cm, vertical axis starting at 40 m with 1 cm for 20 m. The points are 60, 80, 120, 100 and 60 m, plotted 1, 2, 4, 3 and 1 cm above the axis start. 406080100120140 02468Distance from A (cm) Height (m) 120 m (highest)AB
Cross-section A to B from the worked example. Vertical axis starts at 40 m (1 cm = 20 m), so 60, 80, 120, 100 and 60 m sit 1, 2, 4, 3 and 1 cm above the axis. The peak is 4 cm along.

Check yourself

1. Heights along a line are 30 m, 50 m and 90 m. The vertical axis starts at 0 m, and 1 cm stands for 10 m. How high above the axis is each point?

Show answer

30 ÷ 10 = 3 cm, 50 ÷ 10 = 5 cm, 90 ÷ 10 = 9 cm.

2. The horizontal scale is 1 cm to 100 m and the vertical scale is 1 cm to 10 m. Find the vertical exaggeration.

Show answer

100 ÷ 10 = 10 times.

3. The axis starts at 40 m and 1 cm stands for 20 m. How high above the axis is a point at 75 m?

Show answer

75 − 40 = 35 m, and 35 ÷ 20 = 1.75 cm.

Where this leads next

Test the whole module in the scale and relief practice set, and revisit reading contours if the heights feel unfamiliar. The map scale, contour and gradient practice tool and the statistics and distribution explorer give extra drills.

If your cross-sections keep coming out the wrong shape, a teacher in online one-to-one Geography tuition can check your scale choices as you draw.

Questions people ask

What is vertical exaggeration?

It compares the vertical scale with the horizontal scale. If 1 cm stands for 250 m across and 20 m up, the vertical is exaggerated by 250 ÷ 20 = 12.5 times. A section is usually exaggerated so that small height changes are visible.

Should I join the points with straight lines or a smooth curve?

Join them with a smooth line that follows the likely shape of the ground, unless the question says to join with straight lines. Do not draw beyond the supplied points. Label the highest and lowest points.

Where should the vertical axis start?

Start at a convenient value at or just below your lowest height, and say so on the axis. Starting at zero is correct but may squash the shape. Whatever you choose, label the axis with heights and keep equal steps.

Updated:

Your next step

If the blank grid is where you freeze, a one-to-one teacher can draw one section alongside you, then step back until you can set up the axes yourself.

Paid one-hour trial at your assigned teacher’s confirmed rate, starting from RM80.

Tuition is arranged with a parent or guardian. Send them this page on WhatsApp and they can enquire for you.

Parents: enquire here

  • 9,000+ students helped through our service
  • 9+ years helping IGCSE students