Asked by Ashley

It is 4.7km from Lighthouse A to Port B. The bearing of the port from the lighthouse is N73E. A ship has sailed due west from the port and its bearing from the lighthouse is N31E. How far has the ship sailed from the port?

Answers

Answered by Steve
If the ship has sailed to point C,
angle A = 73°-31° = 42°
angle B = 17°
so, angle C is 121°

the distance AC is side a, where

a/sin42° = 4.7/sin121°
a = 3.67
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