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In a tidal river the time between high tide and low tide is 6 2...

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Calculus

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In a tidal river the time between high tide and low tide is 6 2 hours At high tide the depth of the water is 23 4 feet while at low tide the depth is 11 6 feet Assume the water depth is a trigonometric function of time and assume low tide occurs at noon t 0 A boat requires a depth of 14 feet to sail and is docked at noon If the captain wants to leave the dock as soon as possible how many hours after noon can the boat set sail Give your answer as a decimal rounded to 2 places after the decimal point

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