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

dumbcow · Answer

use pythagorean thm to get speed:
2^2 + 14^2 = c^2
c= 10sqrt2

For direction use inverse tangent
tanA = 2/14
A = 8.13 degrees 
Direction -> W 8.13 S