Thread: Trig/Vector help!

I tried this question and managed to get an answer of 56.5km/h using the cosine law, however I can still not get a heading angle and am not sure if I used the formular correctly.

A bird flies at a speed of 22km/h at a bearing of 265degrees. If the wind is blowing at 50km/h in a bearing direction of 10degrees, determine the resultant velocity (side x + direction) to a nearest tenth and degree, respectively.

Need some help...thanks =]

Hello, rebeccasnarfer!

Code:

                C         N
                *         : 
      P        *  *       :
      :       *     *     :
      :      *        *   :
      :  50 *           * : 
      :    *              * A
      :10d*           *85d:
      :  *        *       :
      : * 75d * 22        : 
      :*  *               :
    B *                   :
                          S

The bird flies from to at 22 km/hr: .

Major angle

The wind blows from to at 50 km/hr: .




In , use the Law of Cosines:

. .

Hence: .



Let

Law of Cosines: .

. . Hence: .

Then: .


The bird is flying at km/hr at a bearing of