A cruise ship maintains an average speed of in going from San Juan to Barbados, West Indies, a distance of .

To avoid a tropical storm, the captain heads out of San Juan in a direction of off a direct heading to Barbados.

The captain maintains the speed for , after which time the path to Barbados becomes clear of storms.

**Observe the diagram :**

(a)

The total distance travelled is .

The total distance remaining is .

Substiute and .

Find the angle towards barbados :

The angle towards barbados is .

Therefore, the captain should turn at directly to barbados.

(b)

The total distance to travel to raech barbados is .

If the captain maintains the for the ramaining distance, then the time taken is :

(a)

The captain should turn at directly to barbados.

(b)

If the captain maintains the for the ramaining distance, then the time taken to reach barbados is .

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