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Tides and water depth trig problems
- Lesson: 136:36
Tides and water depth trig problems
Basic Concepts: Sine graph: y = sin x, Cosine graph: y = cos x, Graphing transformations of trigonometric functions
Related Concepts: Reference angle, Find the exact value of trigonometric ratios, ASTC rule in trigonometry (All Students Take Calculus), Converting between degrees and radians
Lessons
- 1.Tides are a periodic rise and fall of water in the ocean. At a seaport, the water has a minimum depth of 4m at 3:00 am. After this minimum depth, the first maximum depth of 20m occurs at 10:30 am.a)Graph how the depth of the tide flow varies with respect to the time in a day.b)Determine a sinusoidal function for the water depth at any time t.c)What is the water depth at 6:45pm?d)A cruise ship needs at least 9m of water to dock safely. Estimate the number of hours in the 24 hour interval during which the cruise ship can dock safely.
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5.
Applications of Trigonometric Functions
5.1
Ferris wheel trig problems
5.2
Tides and water depth trig problems
5.3
Spring (simple harmonic motion) trig problems