CPM Homework Banner

Home > PC > Chapter 10 > Lesson 10.1.2 > Problem 10-30


When delivering a crane to the port of Oakland, the company delivering the crane had to wait for low tide 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 required a clearance of feet. If low tide occurred at 9:20 a.m. and high tide was at 2:50 p.m., find the earliest and latest time for the crane to be able to clear the bridge.

Write a sinusoidal function to represent this situation.

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

Set your equation equal to and solve for .