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From a light house, the angles of depression of two ships on opposite sides of the light house were observed to be 30° and 45°.

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From a light house, the angles of depression of two ships on opposite sides of the light house were observed to be 30° and 45°. If the height of the light house is 90 metres and the line joining the two ships passes through the foot of the light house, find the distance between the two ships, correct to two decimal places.

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Let AB is the light house, C and are the position of two ships.

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