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An airplane flies 200 km due west from city A to city B and then 280 km in the direction of 30.5° north of west from city B to city C.
(a) In straight-line distance, how far is city C from city A?

(b) Relative to city A, in what direction is city C?
The answer is: 17.8 degrees north of west

I received help with this question before, but I keep getting the wrong answer for (a).

  • physics -

    Show us what you did.

  • physics -

    okay: I got the vector from A to B and then the vector from B to C to get the distance from A to C.

    I got 200.00 from the vector from A to B and then 280.00 from the vector from B to C. I added them, but the answer is incorrect.

    For A to B: I did 200cos30.5

    Then I did the pythagorean and got 200.00

    For B to C: I did 280cos17.8

    Pythagorean and got 280.

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