# Vector direction?

1. Jan 19, 2015

### Lefty9602

1. The problem statement, all variables and given/known data
A ship leaves the island of Guam and sails a distance 300km at an angle 46.0∘ north of west.

In which direction must it now head so that its resultant displacement will be 115km directly east of Guam? (Express your answer as an angle measured south of east)
part B:
How far must it sail so that its resultant displacement will be 115km directly east of Guam?

2. Relevant equations

3. The attempt at a solution
I drew the problem out and tried to find a right triangle but I can't seem to get one to solve these problems. What do I need to do?

2. Jan 19, 2015

### SteamKing

Staff Emeritus
How do you know you need a right triangle to figure out the solution?

3. Jan 19, 2015

### Orodruin

Staff Emeritus
In your triangle, you know two of the sides and you know the angle between them. This completely specifies the shape of the triangle and you should be able to find any angles by using the laws of sine and cosine. Try to relate the angles of the triangle with the angles that you are looking for.

4. Jan 19, 2015

### Lefty9602

I don't know what else to use.

5. Jan 19, 2015

### SteamKing

Staff Emeritus
There are other kinds of triangles besides right triangles.

Do you know the Law of Sines? The Law of Cosines?

One or both of these may be useful in solving your problem, but you won't know if you stay stuck on trying to use right triangles only.

6. Jan 19, 2015

### Staff: Mentor

Post the figure you drew for the information given.

7. Jan 19, 2015

### Lefty9602

Got everything with law of cosines. I got the angle 11.79 to get to 115 meters east of guahm but I don't know how to make it in the south of east direction.

8. Jan 19, 2015

### Staff: Mentor

Basically, it's asking for the angle of the path expressed relative to a line directly east.