Simple(?) Vector Problem

Question

A river flows northward with a velocity of 3 km/hr. A man rows a boat eastward with a velocity 4 km/hr relative to the water. The river is 1 km wide.

a) find his speed and direction relative to the earth

b) how far north of his initial point will he reach the opposite bank?

c) find the time taken.

 

Now I figured his speed is 5 km/hr but am getting his direction as 36.9° north of east. Is that correct?

 

And I can't figure out b) or c).

Answer 1

Angle is correct.

Draw a vector diagram!!

If he rows 4 kph east, how much time to travel 1 km?

Take that time and multiply by 3 kph and you get how far north he is