An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. the wind velocity is 56 miles/hour at a bearing of 325°. what are the plane's actual speed and direction angle?

The actual speed of the plane is 196.77 miles/hour and it is flying at a bearing of 9.4 degrees

Step-by-step explanation:

First of all, we put all the given information on a diagram as shown in the attached picture.

In order to find the resultant velocity, we use cosine rule in triangle OAB as shown below.

Now, for finding the direction of the actual speed, we use sine rule in triangle OAB as shown below.

Therefore, the actual speed of the plane is 196.77 miles/hour and it is flying at a bearing of 44.40-35 = 9.4 degrees.

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