Mathematics 10 — Exercise 7.4 · Q6

Full question

A ship sails 20 km on bearing 120°. How far south has it moved?

Step-by-step solution

1. North component is 20 cos 120°. The negative sign means south.

   $$20\times \cos \left(\mathrm{120°}\right)$$

2. cos 120°=−1/2; multiply 20×(−1/2)=−10 km.

3. The distance moved south is the magnitude 10 km.

Answer

The final answer is shown below.