For some reason I am having a terrible time with some bearing problems that were assigned. Any help would be greatly appreciated.
1. An airplane flew 450mi at a bearing of N65*E from Airport A to Airport B. The plane then flew at a bearing of S38*E to airport C. Find the distance from A to C if the bearing from airport A to Airport C is S60*E *=degrees
I can't get my angles to work out I know to use the law of sines, but I'm getting the wrong angles?
2. The Sides of a parallelogram are 10 feet and 14 feet. The longer diagonal is 18 feet. Find the length of the shorter diagonal of the parallelogram.
I don't understand how the shorter diagonal would look? |\| but wouldn't the shorter diagonal just make it look like an x inside of a box?
3. The heading and air speed of an airplane are 60* and 250 mph, respectively. If the wind is 50 mph with a direction of 150*, find the ground speed and resulting course (direction) of the plane.
I have no idea where to start this problem?
Hello, jasonk!
You can start by making a sketch . . .
3. The heading and air speed of an airplane are 60° and 250 mph, respectively.
The wind is 50 mph with a direction of 150°.
Find the ground speed and resulting course (direction) of the plane.Code:P Q : : : : 150° : B o : * : * 50 : *60°:30°* : 250 * : o C : * : * : * * : : * * : :60°* * R : * * A o
The plane's heading is:
The wind's heading is:
Note that
Then is the hypotenuse of right triangle
. .
In right triangle
. . then: .
Hence: .
Therefore, the plane's heading is 71.3° and its speed is 255 mph.