i've tried multiple times and cant figure this out!

jessie231

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Jan 24, 2013
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A group of students decided to study the sinusoidal nature of tides. The depth of the water level was recorded at various times. At t = 2 hours, high tide was recorded at a depth of 4 m. At t = 8 hours, low tide was recorded at a depth of 2 m. What was the depth of the water at time t = 9?

2
2.1
2.3
2.5
^answer choices
please help and explain
 
A group of students decided to study the sinusoidal nature of tides. The depth of the water level was recorded at various times. At t = 2 hours, high tide was recorded at a depth of 4 m. At t = 8 hours, low tide was recorded at a depth of 2 m. What was the depth of the water at time t = 9?

2
2.1
2.3
2.5
^answer choices
please help and explain
Please read "Read before Posting!!" at the top of the subject list.

You may note that we NEED TO SEE YOUR WORK to know where you are getting stuck. Otherwise we can just give hints.

If the max is at 2 h and the min is at 8 h, what is the period of the sine wave?

If the max is 4 m and the min is 2m, what is the amplitude of the sine function?
 
A group of students decided to study the sinusoidal nature of tides. The depth of the water level was recorded at various times. At t = 2 hours, high tide was recorded at a depth of 4 m. At t = 8 hours, low tide was recorded at a depth of 2 m. What was the depth of the water at time t = 9?

2
2.1
2.3
2.5
^answer choices
please help and explain
I guess the first question is "where did you get this problem? It's clear that whoever gave you this problem expects you to know what "sinusoidal" means! Do you? If not, you had better look it up or complain to your teacher. If you do, write out the formula for a general sinusoidal function. Because you are told that "At t = 2 hours, high tide was recorded" I would recommend just a cosine function, with a new variable, T= t- 2, the number of hours after the first two hours. Do you see why? What will T be at low tide?

If you like, after you have the formula, you can replace T with t- 2.
 
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