HOW TO MEASURE THE BEARING OF B FROM A

Compass bearing :

We are most familiar with the directions of the four main compass points : North, South, West or East. They are often called the cardinal directions and are  90⁰ apart.

This method uses only acute angles between 0⁰ and 90⁰. The angles are measured either clockwise or anticlockwise from North or South.

From compass bearings we start facing North or South and turn then towards the East or West.

For example, in the diagram shown the bearing of B from A is N 35⁰ E

This means that an observer at A facing North, needs to turn 35⁰ towards the East to face B.

True bearings :

This method uses clockwise rotations from true north directions and so angles between 0⁰ and 360⁰ are used.

When writing a true bearing we always use three digits. For example, we write 072⁰ instead of 72⁰. 

True bearing of B from A is 250 degree.

True bearing of B from A is 317 degree.

Problem 1 :

Find the compass bearing of B from A

Solution :

The bearing of B from A is N 60° E.

Problem 2 :

Solution :

Instead of keeping the initial position from the direction north, we can start with the direction south.

The bearing of B from A is 

= 90 - 25

= 65

= S65° E.

Problem 3 :

Solution :

Keeping the initial position at A and compass facing north, the bearing of B from A is 

= N 70° E.

Problem 4 :

Solution :

Keeping the initial position at A and compass facing south, the bearing of B from A is 

= S 30° W.

Problem 5 :

Solution :

Keeping the initial position at A and compass facing north, the bearing of B from A is 

= N 50° W.

Problem 6 :

Solution :

Instead of keeping the initial position of compass from the direction north, we can start with the direction south.

The bearing of B from A is 

= 90 - 30

= 60

= S60° W.

Problem 7 :

Solution :

Instead of keeping the initial position of compass from the direction north, we can start with the direction south.

The bearing of B from A is 

= S65° E.

Problem 8 :

Solution :

Instead of keeping the initial position of compass facing north,

the bearing of B from A is 

= 90 - 15

= 75

N75° E.

Find the true bearing of B from A.

Problem 9 :

Solution :

True bearing of B from A is 070 degree.

Problem 10 :

Solution :

True bearing is 160 degree.

Problem 11 :

Solution :

True bearing is 213 degree.

Problem 12 :

Solution :

True bearing is 312 degree.

Problem 13 :

Solution :

True bearing is 96 degree.