MathCastle
TrigonometryChallengeGraphs of Sine and Cosine

Graphs of Sine and Cosine · Challenge problem

The water depth in a harbor varies sinusoidally. High tide, 1212 m deep, occurs at t=0t=0 hours, and the next low tide, 44 m deep, occurs at t=6t=6 hours. During one full tidal cycle, for how many hours in total is the water at least 1010 m deep?