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Transverse survey

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E

D

A

B

C

Transverse or offset surveys are used to find the area of irregular shapes, such as the field ABCDE to the right.

- In this method the surveyor:
- walks along a straight line (eg AD),
- the transverse line,
- often a diagonal of the area to be surveyed,

- measuring distances along this line and
- distances to major features, or offsets, when they are at RIGHT ANGLES to the transverse line.
- For example…

- To survey the field ABCDE:
- Choose any suitable diagonal, ie AD
- Measure the lengths along the transverse line, ie AP, PQ, QR and RD.
- Measure the lengths of the offsets, ie BQ, CR and EP.

20+27=47

When in the field doing the survey the surveyor sketches the information as a field diagram.

- To complete a field diagram:
- Start at one end of the transverse line
- Write down the cumulative distances of the offsets from the starting point

- Write down the lengths of the offsets, on the left or right, as appropriate.
- Units are not shown.

J

H

a) Complete a field diagram for this field

40

K

28

30

22

15

I

L

20

14

b) Calculate the area of this field.

A1 = ½bh

= ½ × 20 × 14

= 140

A3 = ½ × 28 × 10

= 140

ATOT = 140+384+140+300

= 964u2

A2 = ½(a + b)h

= ½ × (20 + 28) × 16

= 384

A4 = ½ × 40 × 15

= 300

94

D

79

39

C

47

35

B

E

29

27

A

Sketch the field represented by this field diagram.

D

15

39

C

- You may also be asked to:
- Make a scale drawing of the field
- Find lengths such as AB or BC.

32

35

B

29

20

E

27

A

Field Diagrams Worksheet

#1, 2, 3, 4

- On the oval there are two‘irregular fields’ marked with different coloured cones.
- Use the trundle wheels/tape measures and set squares to measure the offsets for the two irregular fields.
- Create a notebook entry for the two irregular fields.
- Sketch the two fields, showing all the appropriate measurements.
- Calculate the area & perimeter of both fields.