SOLUTION: A plane traveling approximately southwest has a vector heading of 180mi/hr at 240 degrees. A partial headwind blowing northwest has a vector heading of 35mi/hr at 150 degrees. re

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Question 411878: A plane traveling approximately southwest has a vector heading of 180mi/hr at 240 degrees. A partial headwind blowing northwest has a vector heading of 35mi/hr at 150 degrees.
required: what is the planes final vector heading including both the theta and the final displacement angle?
I am stuck can't get started, I missed the lecture. Test on Wed yikes!! please help!! thanks so much.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
picture each vector as the hypotenuse of a right triangle made up of north-south and east-west components

using the unit circle and trigonometry , calculate the value of the components and add them
___ n-s plus n-s and e-w plus e-w

the summed values are the components of the resultant vector of the answer

use Pythagoras on the components to find the magnitude of the resultant , and use trigonometry to find the direction angle