Solve Vector Problem: Hurricane Path & Distance from Grand Bahama

[Malicious]

The eye of a hurricane passes over Grand Bahama Island. It is moving in a direction of 60.0 (degrees) north of west with a speed of 41.0 km/h. 3 hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 25.0 km/h. How far from Grand Bahama is the hurricane 4.50 h after it passses over the island?

How do I begin to solve this problem? I can't seem to find examples in the book that show how to solve this problem.

 

[Fermat]

Initially, you have a direction, a velocity and a time. How far has been moved horizontally and vertically ?
Ditto after the hurricane shifts.
Add the x- and y-values together.

 

[interested_learner]

Trig

Break it into the x and y conponents using trig. For instance, If the storm moved up at a NNW direction for one hour at a speed of 5 miles an hour then you know that the angle is 45 degrees and the length of the hypotenuse is five miles. Elementry trig will give you the x and y.