A ship leaves Coffs Harbour and sails 320 km east. It then changes direction and sails 240 km due
north to its destination. What will the ship's bearing be from Coffs Harbour when it reaches its
destination, correct to two decimal places?

Respuesta :

Answer:  Bearing = 41.41°

Step-by-step explanation:

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

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

Bearing = 90° - Ф

             = 90° - 48.59°

             = 41.41°

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