$\"\"$ \ \

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Draw the related diagram for the situation:

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$\"\"$

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Let the distance from light house $\"\"$ to the ship is $\"\"$ . The distance from light house $\"\"$ to the ship is $\"\"$ . The distance between ship and the sea shore is $\"\"$ .

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From the diagram:

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

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(a) How far is the ship from lighthouse $\"\"$ .

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Using sine rule: $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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The distance from light house $\"\"$ to the ship is $\"\"$ .

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$\"\"$

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(b) How far is the ship from lighthouse $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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The distance from light house $\"\"$ to the ship is $\"\"$ .

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$\"\"$

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(c) How far is the ship from shore.

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Consider $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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The distance between ship and the sea shore is $\"\"$ .

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$\"\"$

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(a) The distance from light house $\"\"$ to the ship is $\"\"$ .

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(b) The distance from light house $\"\"$ to the ship is $\"\"$ .

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(c) The distance between ship and the sea shore is $\"\"$ . \ \