correcting a navigation error

[sarashack]

Hello,

I am stumped on how to begin solving this problem:

Two cities (A and B) are 300 miles apart. In flying from city A to city B, a pilot inadvertently took a course that was 5 degrees in error.

If the error was discovered after flying 10 minutes at a constant speed of 420 MPH, through what angle should the pilot turn to correct the course?

What new constant speed should be maintained so that no time is lost due to the error?

Thanks in advance for your help,
Sara

 

[stapel]

Suppose A is at the origin and B is at "300" on the x-axis. Suppose the error is 5° above (that is, rotated anti-clockwise from) the x-axis.

How far as the plane gone in ten minutes? Use this information to find the plane's position. Then figure out the angle between the x-axis and the course the plane needs to take to get directly to point B.

Eliz.

 

[sarashack]

thanks