SOLUTION: A boat travels 19 nautical miles in a direction N 30 E and then travels 25 nautical miles south-east. Express each of these displacements in component form (East and North) and hen
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Question 1037930: A boat travels 19 nautical miles in a direction N 30 E and then travels 25 nautical miles south-east. Express each of these displacements in component form (East and North) and hence find the displacement for the whole journey in polar form.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A boat travels 19 nautical miles in a direction N 30 E and then travels 25 nautical miles south-east. Express each of these displacements in component form (East and North) and hence find the displacement for the whole journey in polar form.
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Use the Origin as the starting point, and 1 vertex of a triangle.
A is the 1st turning point.
B is the end point.
OA = 19 nm
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The boat turns 105 degs clock-wise --> OAB = 105 degs
Side AB = 25 nm
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Use the Cosine Law to find side OC, the final distance from the Origin.
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Use the Law of Sines to find angle BOC.
etc.
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