Monday, December 12, 2011

What direction is the plane's landing point from its starting point?

An airplane takes off and flies 300 miles at an angle of 30 degrees north of east. It then changes direction and flies 600 miles due west before landing. In what direction is the plane's landing point from its starting point?


Thanks!|||I am assuming Rente Russia for take off. 300 miles at 30 degrees would be over the Artic Ocean. Then 600 mile west kalakora Russia. West of it. And 150 miles north. of take off. Or 1 of the small islands in that area. Need to be a Military,or mineral exploration flight. Only have a globe to figure this. Need a good map to be more accurate. Give you something to look up. Taimian peninsula Oil exploration flight. russian.|||You are creating a triangle. You can draw it as a graph, which is the simplest and fastest way or you can do it mathematically.





From departure head 30 degrees N of E. E is 90 degrees so 90 - 30 gives a heading of 60 degrees. After 300 miles turn to a heading of due W. To make this change you will have to bear left 60 degrees to head true N and then left another 90 degrees to be headed W. Proceed 600 miles and from this point draw a line back to the point of departure. The angle between the arrival course and the departure point can be calculated as opposite over adjacent, tangent I think but check me out on the actual name. Subtract this angle from 180 to get the angle from the point of departure. I haven't done it but round it off to the nearest compass point for this question.

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