From a ship traveling along the east coast of Maine on a course of 33º, the navigator sights a lighthouse. The line of sight to the lighthouse forms a right angle with the ship’s line of travel. Find the bearing of the lighthouse. ***Bearing is the angle formed from North to the line of sight from the ship to the lighthouse.
I am really confused on this am I supposed to set up law of sines? how would I do that?

Question

From a ship traveling along the east coast of Maine on a course of 33º, the navigator sights a lighthouse. The line of sight to the lighthouse forms a right angle with the ship’s line of travel. Find the bearing of the lighthouse. ***Bearing is the angle formed from North to the line of sight from the ship to the lighthouse.
I am really confused on this am I supposed to set up law of sines? how would I do that?

anonymous · Answer

Relative bearing is 90 degres on the left or 270 if you consider a circle turning clokwise.
heading is 33 but is equal as well to 393 (33 modulo 360 degres)

Then true bearing of light house is 393-90=303 degres
But problem is not clearly mentione witch side in fact is seem=n teh light house, so if it is on starboard (right side) 33+90=123
360 is north direction