What angle should the bird head?

[Junjou]

Homework Statement

Canada geese migrate essentially along a north-south direction for well over a thousand kilometers in some cases, traveling at speeds up to about 100 km/h. The one goose is flying at 100 km/h relative to the air but a 34 km/h wind is blowing from west to east.

At what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground?

Homework Equations

The Attempt at a Solution

Set it up the following way and got about 70.1, subtracted that from 90 and got 19.9. Can somebody check my work to make sure I did it correctly?

Spoiler: Set-up

 

[paisiello2]

Do you know anything about vectors?

 

[Junjou]

We're currently learning vectors right now, but I've been struggling with it because of angles and the mess of formulas. I'm just not sure how to place the vector for the 100 km/h bird.

 

[paisiello2]

Looks like you got it.

 

[BvU]

Just in case you have to enter this in a computer or something: they ask for the angle wrt north-south, not for the angle wrt west...

 

[DaveC426913]

I thought a flight speed of 100 km/h for a Canada goose was preposterous, until I looked it up...