Vector Displacement calculation

[Lief Vercron]

An airplane takes off and flies 245 km on a course of 45.0° south of west and then
changes direction and flies 175 km due south, where it lands. Find the displacement
from its starting point to its landing point.

I have literally no idea how to approach this, I worked with physics only sparingly in my homeschooling, and I need help figuring out the approach to this type of equation. I'm a quick learner though!

 

[SteamKing]

An airplane takes off and flies 245 km on a course of 45.0° south of west and then
changes direction and flies 175 km due south, where it lands. Find the displacement
from its starting point to its landing point.

I have literally no idea how to approach this, I worked with physics only sparingly in my homeschooling, and I need help figuring out the approach to this type of equation. I'm a quick learner though!

Why don't you make a sketch of the plane's travels? With a picture, that may give you some ideas on how to tackle this problem.

 

[Lief Vercron]

Why don't you make a sketch of the plane's travels? With a picture, that may give you some ideas on how to tackle this problem.

Right triangles off of each vector to the x/y lines?

 

[SteamKing]

Right triangles off of each vector to the x/y lines?

If that's what your diagram shows. Trig is usually helpful in solving these types of problems.