Question

A boat sails from point A, on a bearing of 140 for 40 km to B. It then sails from B on a bearing of 250 for 80 km to C.

Find the distance AC
Find the bearing of C from A
Find the bearing of A from C

Answer 1

The distance AC is 120 km. The bearing of C from A is 40°, and the bearing of A from C is 140°.

Step-by-step explanation:

To find the distance AC, we need to calculate the individual distances AB and BC and then add them together.

Using the given information,:

AB = 40 km

BC = 80 km

AC = AB + BC

= 40 km + 80 km

= 120 km

Therefore, the distance AC is 120 km.

To find the bearing of C from A, we can use the concept of trigonometry.

We can calculate the angle CAB, which is the same as the bearing of C from A.:

CAB = 180° - 140°

= 40°

Therefore, the bearing of C from A is 40°.

To find the bearing of A from C, we can subtract the bearing of C from A from 180°.:

ACB = 180° - 40°

= 140°

Therefore, the bearing of A from C is 140°.