The depth of water at a dock can be modeled as y=4 sin( pi 6 x)+9. At low tide , the water is 5 feet deep. What is the depth of water at high tide its maximum point )?

The depth of water at high tide at a maximum point is 13 feet because the maximum value of the sin function is 1 option (A) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric function:

[tex]\rm y = 4 \ sin(\dfrac{\pi}{6}x)+9[/tex]

As we know, the maximum value of a sin function varies [-1, 1]

At minimum value = -1

The depth of the water y = -4 + 9 = 5 feet

At maximum value, sin function = +1

y = 4 + 9

y = 13 feet

Thus, the depth of water at high tide at a maximum point is 13 feet because the maximum value of the sin function is 1 option (A) is correct.

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The depth of water at a dock can be modeled as y=4 sin( pi 6 x)+9. At low tide , the water is 5 feet deep. What is the depth of water at high tide its maximum point )?​

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What is trigonometry?

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The depth of water at a dock can be modeled as y=4 sin( pi 6 x)+9. At low tide , the water is 5 feet deep. What is the depth of water at high tide its maximum point )?