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The tide table for Newport, OR is given. Note that the heights change and tides do not occur exactly twelve hours apart. Do your best to be accurate.

$1.$ Using the tide table, select consecutive heights at high tide and low tide, compute the average of these two values and write it in the box.

$2.$ For the low tide height you selected, locate the time of the next low tide and compute the time between low tides in hours.

$3.$ In general, the speed or wave frequency is $2$ divided by the period. Write down the sneed according to vour previous ansiver and include units.

$4.$ Use sine to construct a model for the height of the tide in feet at time $t$ in hours

$5.$ Take the derivative of your model

$6.$ Set the derivative equal to zero and solve for at least $2$ values. You may use a graph to do this.

$7.$ Explain the meaning of the previous answer in terms of wave heights.