Frames of Reference Question - Airplane Problem

[aatari]

Hi, Could someone please have a look at my solution and let me know if I did it correctly.

Thank you!

1. Homework Statement
A pilot is flying from City A to City B which is 300 km [NW]. If the plane will encounter a constant wind of 80 km/h from the north and the schedule insists that he complete his trip in 0.75 h, what air speed and heading should the plane have?

Homework Equations

N/A

The Attempt at a Solution

[/B]

 

[ehild]

Hi, Could someone please have a look at my solution and let me know if I did it correctly.

Thank you!

1. Homework Statement
A pilot is flying from City A to City B which is 300 km [NW]. If the plane will encounter a constant wind of 80 km/h from the north and the schedule insists that he complete his trip in 0.75 h, what air speed and heading should the plane have?

Homework Equations

N/A

The Attempt at a Solution

[/B]
View attachment 208264

You have a sign error. Unfortunately, you did not type in the solution, so I can not show, where the error is.

 

[haruspex]

The Attempt at a Solution

View attachment 208264

Your diagram is wrong. You seem to have put label C where A should be and label A where B should be.
What direction does the resultant 400km/h need to be in?

 

[aatari]

You have a sign error. Unfortunately, you did not type in the solution, so I can not show, where the error is.

Thank You!