Bearings, Constructions & Scale Drawings (Cambridge (CIE) IGCSE Maths: Extended)

A field, , is in the shape of a triangle.
and .

Using a ruler and compasses only, complete the scale drawing of the field .

Leave in your construction arcs.
Use a scale of 1 cm to represent 100m.
The side  has been drawn for you.

The bearing of B from A is 105°.  

Find the bearing of A from B.

The diagram shows a pyramid with a square base.
The triangular faces are congruent isosceles triangles.

Using a ruler and compasses only, construct an accurate drawing of one of the triangular faces of the pyramid.

The bearing of Alexandria from Paris is 128°.  

Calculate the bearing of Paris from Alexandria.

The diagram shows an incomplete scale drawing of a market place, ABCD, where D is on CX.

The scale is 1 centimetre represents 5 metres.

D lies on CX such that angle DAB = 75°.

On the diagram, draw the line AD and mark the position of D.

Find the actual length of the side BC of the market place.  

............................................... m

Write the scale of the drawing in the form .  

1 : ..................................................

The bearing of A from B is 227°.  

Find the bearing of B from A.

A and B are two towns on a map.
The bearing of A from B is 140°.

Work out the bearing of B from A.

The diagram shows the positions of three points,  and  on a map.

The bearing of  from  is .

Angle is .

Work out the bearing of  from .

The scale drawing shows two boundaries, AB and BC, of a field ABCD.
The scale of the drawing is 1 cm represents 8 m.

The boundaries CD and AD of the field are each 72 m long.

i) Work out the length of CD and AD on the scale drawing.

.......................................... cm [1]

ii) Using a ruler and compasses only, complete accurately the scale drawing of the field.

[2]

and are ships.

is a port.

is due South of .
Angle

Work out the bearing of from .

The diagram shows the positions of two towns, Amton and Bisham.

The bearing of Bisham from Amton is b°.
The bearing of Amton from Bisham is 6b°.

Calculate the 3-figure bearing of Amton from Bisham.