a man is driving his motor boat at 12 mph travelling N 30 E. The river currents are flowing due East at 8 mph. (A) express the true velocity of the motorboat as a vector. (B) what is the true speed of the motorboat? (C) What is the true direction of the motorboat?

1 answer

Add the vectors
12N30E+8E
12sin30 N + 12 cos20E+8E
work that out into N, E vecots
xxxN + yyy E

true speed=sqrt (xxx^2 + yyy^2)

direction: arc tan (xxx/yyy) N of E