A motor boat is set to head north-east from the mainland to the near island, lying approximately 15 km away. The journey should take 25 minutes. If a tide of 2 km/h flows from a north-north-west...

A motor boat is set to head north-east from the mainland to the near island, lying approximately 15 km away. The journey should take 25 minutes.
If a tide of 2 km/h flows from a north-north-west direction and the wind blows from the south-east at 30 km/h, determine, using complex numbers, the maximum speed and the direction the boat should be headed.