Posted by **Ashley** on Sunday, November 18, 2012 at 11:38pm.

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?

- trig -
**Steve**, Monday, November 19, 2012 at 10:19am
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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