Two harbours p and q are 70 km apart with q bearing 90 degrees from p. ship s bears 50. Degrees from p and 35 degrees from q. How far is s from q?
See attached image.
`theta_(qps) = 90-50=40 deg`
`theta_(qsp) = 180-40-55=85 deg`
Using the law of sines:
Therefore, the ship is 45.2 km from the harbour at q.