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A Lamp Is Shining on Top of a Vertical Light

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A lamp is shining on top of a vertical light post that is 540 centimetres tall. A girl is running away from the base of the light post at a constant rate so that her shadow is increasing at the rate of 15 cm/s and the tip of her shadow is moving away from the base at the rate of 90 cm/s. How tall is she?

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Let x be length of shadow, y be the dist...

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