Will name the brainliest! an airplane undergoes the following displacements: it first flies 72 km in a direction of 30° east of north. next it flies 48 km due south. finally it flies 100 km 30° north of west. using analytical methods, determine how far the airplane ends up from its starting point. show all work!

82.1 km

Explanation:

We need to resolve each displacement along two perpendicular directions: the east-west direction (let's label it with x) and the north-south direction (y). Resolving each vector:

Vector B is 48 km south, so:

Finally, vector C:

Now we add the components along each direction:

So, the resultant (which is the distance in a straight line between the starting point and the final point of the motion) is

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from wikipedia