# The height, h, in metres of the tide in a given location on a given day at t hours after midnight can be modelled using the sinusoidal function h(t) = 5sin(30(t-5))+7 What time is the high tide?What time is the low tide?

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Is this question related to either the maximum or the minimum value of the graph. Does the period play a role here as well?

Is this question related to either the maximum or the minimum value of the graph. Does the period play a role here as well?

##### 1 Answer

The height, h, in metres of the tide in a given location on a given day at t hours after midnight can be modelled using the sinusoidal function

So first high tide after midnight will be at

Again for next high tide

This means second high tide will be at

So at 12 hr interval the high tide will come.

So first low tide after midnight will be at

Again for next low tide

This means second low tide will be at

So after 12 hr interval the low tide will come.

Here period is