Calculating Displacement Using Vectors and Angles

AI Thread Summary
To calculate the displacement of the roller coaster, start by drawing an 85m horizontal line. Then, draw a second line at a 30° angle above the horizontal, which should be directed northeast. This creates a right triangle where you can apply the Pythagorean theorem to find the total displacement. The total displacement can be calculated by finding the resultant vector from these two segments. Understanding the vector components is crucial for solving the problem accurately.
jubbly
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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!
 
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jubbly said:
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).
 
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