In the tidal river time between high tide and low tide is six hours. At high tide depth of water is 17.2 feet. At low tide depth is 5.6 feet. Suppose depth is a sinusoidal function of time.
• Draw the graph of depth of water over time if there is low tide starting at time = 0 (at 12:00 noon). Label graph indicating high and low tide over 24 hours.
• Write the sinusoidal equation for tide depth vs time using the reflected cosine function.
• A boat needs the depth of 8 feet to sail and is docked at 12:00 noon. Between what time window will it be able to sail over next 12 hours?