A ship is moving due west at 8 knots. You are in a speed boat $\sqrt{2}$ nautical miles directly southeast of the ship. (Thus your bearing as seen from the ship is 135 degrees.) You need to catch up with the ship, and you can move at a speed of 16 knots. So you take off at a bearing of degrees, and you reach the ship in minutes. Enter your answers as decimal expression with at least four digits, or enter mathematical expressions.
Hint: Draw two right triangles.