Totally stuck on this one!!?

Question

A ship is headed due north at a constant 16 miles per hour. Because of the ocean current, the true course of the ship is 17º. If the currents are a constant 13 miles per hour, in what direction are the currents running? Round your answer to the nearest degree.

a. S 4Degrees E

b. N33Degrees E, N 4Deg E

c. S 31 E Degrees

d. N 38 Deg E, S 4deg E

e. S 38 Deg E, N 41deg E

Answer 1

It's tricky to demonstrate this without the ability to graph the

vectors...anyway it should be N4degreeE.

I obtained this in this way:

a. the portion of the vector "ocean current" in the north direction is 1 mile per hour ( 17 miles per hr - 16 miles per hr)

b. the angle of the vector "ocean current" is

1/13=cos x

x= arcos(1/13)= 85.58 degree

Therefore, with respect to the north direction this is equal to N(90-86)E which is 4 degrees toward East

Hope this helps

Answer 2

Not a clue! That is the reason for steering away from boats. good luck. You do seem to know!!!!!!!!!!!!!!!!!!!!!