4. The height, h, in metres of a tide in a particular location on a given day at t hours after midnight can be modelled using the sinusoidal function h(t) = 5 sin[30(t - 5)] + 7 a) Find the maximum and minimum depths, h, of the water b) i) What time is high tide? ii) What time is low tide? c) What is the depth of the water at 11:00 am?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
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4. The height, h, in metres of a tide in a particular location on a given day at t hours after
midnight can be modelled using the sinusoidal function
h(t) = 5 sin [30(t - 5)] + 7
a) Find the maximum and minimum depths, h, of the water
b) i) What time is high tide?
ii) What time is low tide?
c) What is the depth of the water at 11:00 am?
d) Find all the times during a 24-h period when the depth of the water is
3 m
Transcribed Image Text:4. The height, h, in metres of a tide in a particular location on a given day at t hours after midnight can be modelled using the sinusoidal function h(t) = 5 sin [30(t - 5)] + 7 a) Find the maximum and minimum depths, h, of the water b) i) What time is high tide? ii) What time is low tide? c) What is the depth of the water at 11:00 am? d) Find all the times during a 24-h period when the depth of the water is 3 m
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