Am I doing this right?

[ms. confused]

Hello! I was wondering if anyone could tell me if I was solving this Physics problem correctly:

A jet aircraft is traveling at 310 m/s at 35° south of east. What is the southern component of its velocity?


Calculation:
cos35°= x/310
310cos35= x
254 m/s = x

The real answer is supposed to be 178 m/s, but I keep getting 254 even if I solve it graphically. So...what, if anything, am I doing wrong?

[Sirus]

Check your angles again. The plane is travelling at 35° south of east. You did not draw the vector diagram correctly.

[Parth Dave]

You are getting the eastern component. They want the southern component, which is the component of the vector pointing downwards.

[Parth Dave]

Oh, looks like i should have checked your diagram first. Looks like Sirus is right, the diagram is drawn incorrectly.