Question

A girl starts from point A and walks 285m to B on a bearing of 078 degrees. She then walks due south to point C, which is 307m from A. What is the bearing of A from C?

a) 078 degrees
b) 180 degrees
c) 270 degrees
d) 360 degrees

Answer 1

The bearing of point A from point C is 180 degrees.

Step-by-step explanation:

To find the bearing of point A from point C, we need to consider the bearing of point B from point A and the bearing of point C from point B.

The bearing of point B from point A is given as 078 degrees. This means that if we draw a line from point A to point B, it would be at an angle of 078 degrees with the north direction.

Next, the girl walks due south from point B to point C, which is a distance of 307m.

To find the bearing of point A from point C, we need to consider the angle between the line connecting point B to point C and the north direction. Since the girl walks due south from point B to point C, the angle between the line and the north direction is 180 degrees.

Therefore, the bearing of point A from point C is 180 degrees. So, the answer is (b) 180 degrees.