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Home > PC3 > Chapter 12 > Lesson 12.2.1 > Problem 12-106


A barge delivering a crane to the port of Oakland has to wait for lower tides in order to clear the Bay Bridge. At low tide, the maximum clearance for the bridge is feet. At high tide the maximum clearance is feet. The crane requires a clearance of feet. Tomorrow, low tide occurs at 9:20 a.m. and high tide occurs at 2:50 p.m. For what time intervals will the crane be able to clear the bridge?

Write a sinusoidal function to represent this situation. Let .

Graph some points from the situation to help you determine its equation. Assume is 12:00 a.m.