Alex wants to swim across a river but will only do so if the width of the river is 160 meters or less. From the river's bank, he looks straight across and spots a tree on the other side of the river's bank. Then, Alex walks 200 meters down the river and again sees the same tree on the other side of the river. At that time, his line of sight from his starting position to the tree on the other side of the river measures \(38^{0} \). Will Alex swim across the river?