Calculating Displacement Using Vectors and Angles

[jubbly]

Hey guys I'm lost with this word problem.
A roller coaster moves 85m horizontally, then travels 45m at an angel of 30.0° above the horizontal. What is its displacement from its starting point?

I started out by drawing a 85m line. But now I'm confused because I have to set a 30 degree angle. Would I draw a line to the northeast or northwest?

That's all the need I'll need for now. Thanks guys!

 

[Spoonerz]

I have to set a 30 degree angle. Would I draw a line to the northeast or northwest?

You would draw it NorthEast, or 3 o'clock angle, or 30 degrees, or Up-Right, etc. From there, you can find the total displacement from starting point (assuming you can see the triangle).