C2 - bearings

How do I draw this? And I assumed it would form a triangle but then how would you get the distance since it's from both points?

Two points A and B on a straight coastline are 1km apart, B being due east of A. If a ship is observed on bearings 167degrees and 205degrees from A and B respectively, what is its distance from the coastline?

Reply 1

Danielisew

1

Just draw a line. Label one end A, one end B. Label the distance as 1km.

From A, roughly draw a 167° bearing and draw a straight line towards a point labeling the bearing. Do the same with B (obviously so it forms a triangle). Label the new point S and you need to find distances AS and BS. You can do this using the cosine rule with 2 angles between a given distance (the coastline = 1km). This is a bit wordy but hopefully it gives you an idea of what to do =]

Reply 2

Poshtotty

OP

8

Danielisew

Just draw a line. Label one end A, one end B. Label the distance as 1km.

From A, roughly draw a 167° bearing and draw a straight line towards a point labeling the bearing. Do the same with B (obviously so it forms a triangle). Label the new point S and you need to find distances AS and BS. You can do this using the cosine rule with 2 angles between a given distance (the coastline = 1km). This is a bit wordy but hopefully it gives you an idea of what to do =]

That doesn't really help me because I don't know how to draw bearings

Also, the final answer is only one distance. So if I find both distances AS and BS, which one do I use?