Posted by Anonymous on Saturday, March 1, 2008 at 11:40am.
One method
Three velocity vectors: the wind, the plane, and the desired results. Since the plane must reach the town in 1/2 hour, the results must be 400km/hr at 30 degrees N of E. That defines the speed over the ground.
Draw the results vector.
Now draw the wind vector as given. Handily for this problem the wind and the results are at 90 degrees. Draw the planes vector from the end of the wind vector to the end of the results vector. The length is the plane's speed. The heading of the plane is the angle where the plane's vector crosses the x-axis. There are several ways to find this angle. Be careful. It is not equal to any of the angles in the triangle just solved, but you do need them to find it.
The heading solved will be a heading relative to east (chosen since the original problem used that). You can adjust that to a heading with 0 degrees at true north if desired.
Related Questions
Physics - A pilot must fly his plane to a town which is 200km from his starting ...
Mathematics - A pilot flies a plane that averages approximately 210 km/hr. The ...
Physics - Can someone explain to me how I'd draw this problem and what the ...
Physics - An airliner is at point A and is trying to fly to point B, which is ...
Gr. 12 Physics - A pilot must fly his plane to a town which is 200km from his ...
Physics - a pilot must fly a destination 520 km away in a direction of N30 ...
Physics - A pilot maintains a heading due west with an air speed of 24o km/h. ...
Physics - A light plane attains an airspeed of 491 km/h. The pilot sets out for ...
Physics - A small aircraft has a flying speed of 200 km/h in still air. To make ...
physics - An airplane pilot wishes to fly due west. A wind of 82.0m/s is blowing...
For Further Reading
