$\"\"$

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

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

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

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Observe the diagram :

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$\"\"$

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$\"\"$

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(a)

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The total distance travelled is $\"\"$ .

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The total distance remaining is $\"\"$ .

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Substiute $\"\"$ and $\"\"$ .

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$\"\"$

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Find the angle towards barbados :

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$\"\"$

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The angle towards barbados is $\"\"$ .

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Therefore, the captain should turn at $\"\"$ directly to barbados.

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$\"\"$

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(b)

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The total distance to travel to raech barbados is $\"\"$ .

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

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$\"\"$

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$\"\"$

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(a)

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The captain should turn at $\"\"$ directly to barbados.

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(b)

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