A boat whose speed is 8km/h sets course on bearing of 60 degrees .if the tide is running at  a speed of 3km/h from the bearing of 330 degrees .find 

(I)the actual speed of the boat 

1. (ii)the direction of the boat

A plane flying on a heading(use bearing) of 60 degrees at 150km/his four hours from it's destination(600km). The plane experiences a50km/h headwin out of the Northeast at 60 degrees for the next fourhours.

a. Determine the actual speed and direction of the plane over theground.
b. How far off the original course is the plane after 4hours(displacement)?

A duck swims at 0.5 m/s West on the water of a river which isflowing E45degreesN at 2m/s. Find the actual speed and direction ofthe duck.

A boat, whose speed in still water is 2.70 m/s, must cross a 280-m-wideriver and arrive at a point 120 m upstream from where it starts. To do so, the pilot must head the boat at a 45.0 degree angle. What is the speed of the river's current?