Question

A ship leaves Coffs Harbour and sails 320 km east. It then changes direction and sails 240 km due

Answer 1

Answer:  Bearing = 41.41°

Step-by-step explanation:

$\tan \theta=\dfrac{opposite}{adjacent}\\\\\\\tan \theta=\dfrac{240}{320}\\\\\\.\quad \theta=\tan^{-1}\bigg(\dfrac{240}{320}\bigg)\\\\\\.\quad \theta =48.59^o$

Bearing is measured clockwise from North (90° on a Unit Circle = bearing of 0°)

Bearing = 90° - Ф

             = 90° - 48.59°

             = 41.41°