SOLUTION: Hey Guys I'm currently stuck with this problem. I was able to solve (a) already but (b) is giving me a hard time. A man wishes to row the shortest possible distance from north t

Click here to see ALL problems on Vectors

Question 1058402: Hey Guys I'm currently stuck with this problem. I was able to solve (a) already but (b) is giving me a hard time.
A man wishes to row the shortest possible distance from north to south across a river which is flowing at 3 km/hr from the east. He can row at 4 km/hr.
(a) In which direction should he steer?
At an angle (in degrees) of 48.59025877 east of south.
(b) Suppose that when the man is in the middle of the river, a wind of 5 km/hr from the southwest starts.
In which direction should he steer to move straight across the river?
At an angle (in degrees) of XXXX west or east of south.
Which bank of the river will the rower reach first?
The south bank, the north bank or neither.
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Hey Guys I'm currently stuck with this problem. I was able to solve (a) already but (b) is giving me a hard time.
A man wishes to row the shortest possible distance from north to south across a river which is flowing at 3 km/hr from the east. He can row at 4 km/hr.
(a) In which direction should he steer?
At an angle (in degrees) of 48.59025877 east of south.
(b) Suppose that when the man is in the middle of the river, a wind of 5 km/hr from the southwest starts.
---------------
The wind is not the same as the current.
You have to have specs on the effects of the wind. A 5 knot wind will not move a boat at 5 knots.