A sinusoidal function is a function based on the sine function.
The maximum depth of the water at the place, is 6.0 meters.
Reason:
The known parameters are;
The average depth of water at a place, [tex]d_{ave}[/tex] = 5.0
The largest tidal range in the place, R = 2.0 m.
Required;
To calculate the maximum depth of water at the given place.
Solution:
The tidal range is the consecutive difference between highs and lows of
the tides, which is a sinusoidal motion.
Therefore, the tidal range is twice the amplitude of the tide level.
The amplitude of the tide, a = [tex]\dfrac{2.0}{2}[/tex] m = 1 m
The maximum depth of water at the place, [tex]d_{max}[/tex] = a + [tex]d_{ave}[/tex]
∴ [tex]d_{max}[/tex] = 1.0 + 5.0 = 6.0
The maximum depth, [tex]d_{max}[/tex] = 6.0 meters
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