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

The bearing of X from Y is 274°.
 
Calculate the bearing of Y from X.

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 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.

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 scale of a map is 1 : 10 000 000.
On the map, the area of Slovakia is 4.9 cm².

Calculate the actual area of Slovakia.
Give your answer in square kilometres.

............................................. km²

On a map with scale 1 : 25000, the area of a lake is 33.6 square centimetres.

Calculate the actual area of the lake, giving your answer in square kilometres. 
 

 ........................................ km²

The diagram shows the positions of three towns, Acton (), Barston () and Chorlton ().

Barston is 8 km from Acton on a bearing of .
Chorlton is 9km from Barston on a bearing of .

Find the bearing of Chorlton from Acton.
Give your answer correct to 1 decimal place.
You must show all your working.

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 .