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A triathlete swims 1200 m due to east followed by 1500 m due northeast (45o). What is the overall displacement? (magnitude and angle). Calculate the displacement with long-hand calculations.

  • physics -

    Long hand? I wonder what that means.

    sketch the diagram.

    You have two sides, and the included angle. SAS Law of cosines to get the magnitude of the displacement

    solve for displacement magnitude.

    Now angle, in my sketch, law of sines:

    you know d, solve for A. But A is measured from East, so the angle from N is 90-A.

  • physics -

    thank you bobpursley

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