Hi, I need help with another vector word problem.
A supply boat needs to cross a river from point A to point B, as shown in the attached diagram. Point B is 1.5 km downstream. The boat can travel at a speed of 20 km/h relative to the water. The current is flowing at 12 km/h. The width of the river is 500 m.
1) Determine the heading the captain should set to cross the river to point B.
2) Determine the heading the captain must set to return to point A.
I'm not really sure what I'm doing wrong with this one. I've tried it a couple of times, and keep getting different wrong answers. I don't know why, but word problems always seem to mess me up. So if anyone can offer some advice or a solution, it would be appreciated.