Plane Traveling against the wind

[larrylancaster]

Homework Statement

This was a two step question on my homework. I got the same answer for both so I think I got it wrong

Relevant Equations

Sin(@) = o/h Tan(@) = o/a

So the question was if a plane is going from point A (origin) to point B 400 km directly south of point A at 220km/hr north and there is a wind going 62 km/hr east to west, what angle should the plane orient to go straight from point A to point B? I got something lik 16.4 degrees. The second part was if the plane flies straight north to south, what angle will the plane be heading? Wouldn't the answer be the same for both?

 

[kuruman]

Homework Statement:: This was a two step question on my homework. I got the same answer for both so I think I got it wrong
Relevant Equations:: Sin(@) = o/h Tan(@) = o/a

I got something lik 16.4 degrees.

16.4 degrees measured with respect to what? That is insufficient to specify direction. Same for the second part.

On edit:
Better yet, give the headings using the aviation convention of heading angle increasing clockwise from zero (due North) to 360° as shown in the picture below.

 

[hmmm27]

So the question was if a plane is going from point A (origin) to point B 400 km directly south of point A at 220km/hr north and there is a wind going 62 km/hr east to west, what angle should the plane orient to go straight from point A to point B? I got something lik 16.4 degrees. The second part was if the plane flies straight north to south, what angle will the plane be heading? Wouldn't the answer be the same for both?

Sorta crappily stated question.

The two aren't the same : the first part implies the nose is not pointed due south (but it still flies due south), the second it is pointed due south (but will miss point B).

 

[Lnewqban]

Homework Statement:: This was a two step question on my homework. I got the same answer for both so I think I got it wrong
Relevant Equations:: Sin(@) = o/h Tan(@) = o/a

So the question was if a plane is going from point A (origin) to point B 400 km directly south of point A at 220km/hr north and there is a wind going 62 km/hr east to west, what angle should the plane orient to go straight from point A to point B? I got something lik 16.4 degrees. The second part was if the plane flies straight north to south, what angle will the plane be heading? Wouldn't the answer be the same for both?

Welcome!
Could you post the full text as shown in the original question?
How could the airplane be “going from point A (origin) to point B 400 km directly south of point A at 220km/hr north”?

 

[DaveC426913]

How could the airplane be “going from point A (origin) to point B 400 km directly south of point A at 220km/hr north”?

Its heading was recorded just as it was about to pass over the North Pole?

...or...

The "62"km/hr wind is missing a zero.