A person with a boat wants to cross a river 1 mile wide flowing with a current 8 mi/hr. The boat has a speed in still water of 10 mi/hr. He heads his boat upstream at an angle of 37o with respect to a line straight across the river.
a) Find what time will it take him to cross the river?
b) Find at what position x will he land with respect to the line straight across the river
c) Find at what angle should he head in order to land directly across the river from his starting point?