Question

B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140° Find the bearing of C from A. Give your answer correct to 1 decimal place.

the answer is 93.3. could someone explain why, perhaps with a diagram, you add the angle bca to 37° to find the bearing of c from a?​

Answer 1

The bearing of C from A is 177°.

Let's clarify and solve the problem step by step.

A is 7 km from B on a bearing of 037°.

C is 8 km from B on a bearing of 140°.

To find the bearing of C from A, we need to consider the angles involved. We know that the bearing from A to B is 037°, and the bearing from B to C is 140°.

The bearing from A to C is the angle between the north direction and the line AC.

It's the sum of the bearing from A to B (037°) and the bearing from B to C (140°).

Mathematically, it's expressed as:

Bearing of C from A=Bearing from A to B+Bearing from B to C

Bearing of C from A=37°+140°

Bearing of C from A=177°

So, the bearing of C from A is 177°.