Question

A plane takes off from an airport and flies to town A, locatedd1 = 275 kmfrom the airport in the direction 20.0° north of east. The plane then flies to town B, locatedd2 = 260 kmat 30.0° west of north from town A. Use graphical methods to determine the distance and direction from town B to the airport. (Enter the distance in km and the direction in degrees south of west.)

Answer 1

Answer:

The airport is 344.1 km from town B and 68.1° South of West of town B.

Explanation:

The sketch of the journey (to scale) is attached to this solution provided with all the parameters added.

To solve this question with graphical methods, we first indicate the airport and draw town A 275 km away from the airport on a bearing 20° and then town B is then drawn 260 km away from town A on a bearing 30° west of North.

All of this is drawn to scale and then a measurement of town B from the airport is carried out and found that the airport is 344.1 km from town B and 68.1° South of West of town B.

When this is checked using cosine rule and sine rule, the answers are accurately spot on.

Hope this Helps!!!