1103021907

A plane is flying at a speed of $900\mathrm{km}\cdot {\mathrm{h}}^{-1}$ and according to the compass the axis of the airplane is still heading westbound. What angle will the flight path of the airplane make with the east-west direction if the south wind starts to blow at a speed of $10\mathrm{m}\cdot {\mathrm{s}}^{-1}$? Round the result to two decimal places.