Miguel is driving his motorboat across a river. The speed of the boat in still water is 14 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction? Diagram is not drawn to scale.
https://www.connexus.com/content/media/456845-2232011-24357-PM-821515418.png

Question

Miguel is driving his motorboat across a river. The speed of the boat in still water is 14 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction? Diagram is not drawn to scale.
https://www.connexus.com/content/media/456845-2232011-24357-PM-821515418.png

anonymous · Answer

Are you supposed to give the answer in vector form, or are you simply looking for a length and angle?

anonymous · Answer

speed and degrees of angle

anonymous · Answer

Well then you can use the pythagorean theorem to find the resultant speed, using c^2 = a^2 + b^2. You can also use the tangent to find the angle you're looking for. tan = opposite  / adjacent, so arctan of opposite/adjacent will give you the angle you're looking for.

rockinhood · Answer

I believe the answer is 
14.1 mi/h; 8 degrees south of west.