Question

Please help? A plane is 160 miles north and 110 miles east of an airport. what bearing should be taken to fly directly to the airport

Answer 1

Let the position of the airport be A, the point 160 miles north be B, and the point 85 miles east of that (i.e. the location of the plane) be C. Then ABC forms a right-angled triangle. 

tan BAC = 85/160 

BAC = arctan (85/160) 

= arctan 0.531 (approx.) 

= 27.98° (approx.) 

So C is N 27.98° E from A. 

The plane should fly S 27.98° W to get to the airport.

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