# trigonometry

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a ship travels 8km due north then 7km on a bearing of 070 degrees
1. draw a diagram to represent the information
2. calculate the distance and bearing of the ship from its starting point

• trigonometry -

ships travel on headings, not bearings.

Anyway, you draw the diagram.

Starting from (0,0), going N puts you at (0,8)

Then, 7 km at 70° moves you another (7cos70°, -7sin70°) = (2.39,-6.58), leaving you at (2.39,1.42)

Final distance is 2.78, on a bearing of arctan(1.42/2.39) = 30.7° from (0,0)

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