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?

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crmhaske | College Teacher | (Level 3) Associate Educator

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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.

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