A 200-m-wide river has a uniform flow speed of 1.1 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 4.0 m/s with respect to the water. There is a clearing on the north bank 82 m upstream from a point directly opposite the clearing on the south bank.

(a) In what direction must the boat be pointed in order to travel in a straight line and land in the clearing on the north bank?

(b) How long will the boat take to cross the river and land in the clearing?