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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