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A t of the water, H, in feet, at a boat dock t hours after 6 A.M. is given by H=30+7 sint. Complete parts (a)-(c).

A t of the water, H, in feet, at a boat dock t hours after 6 A.M. is given by H=30+7 sint. Complete parts (a)-(c).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 29E
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π The height of the water, H, in feet, at a boat dock t hours after 6 A.M. is given by H = 30 + 7 sint. Complete parts (a)-(c). (a) Find the height of the water at the dock at 6 A.M., 9 A.M., noon, 6 P.M., midnight, and 3 A.M. The height of the water at the dock at 6 A.M. is The height of the water at the dock at 9 A.M. is The height of the water at the dock at noon is ft. ft. ft. The height of the water at the dock at 6 P.M. is The height of the water at the dock at midnight is The height of the water at the dock at 3 A.M. is ft. (b) When is low tide and when is high tide? Choose the correct answer below. ft. ft. O A. Low tide is at noon. High tide is at midnight. O B. Low tide is 3 A.M. High tide is at 9 A.M. OC. Low tide is 3 A.M. and 3 P.M. High tide is at 9 A.M. and 9 P.M. D. Low tide is 9 A.M. and 9 P.M. High tide is at 3 A.M. and 3 P.M. O E. Low tide is 3 A.M. and 6 P.M. High tide is at 6 A.M. and 3 P.M. O F. Low tide is 6 A.M. and 3 P.M. High tide is at 3 A.M. and 6 P.M. (c) What is the period of this function and what does this mean about the tides? (c) What is the period of this function and what does this mean about the tides? The period of the function is hr. This means, that low tides occur every hours and high tides occur every hours.
Transcribed Image Text:π The height of the water, H, in feet, at a boat dock t hours after 6 A.M. is given by H = 30 + 7 sint. Complete parts (a)-(c). (a) Find the height of the water at the dock at 6 A.M., 9 A.M., noon, 6 P.M., midnight, and 3 A.M. The height of the water at the dock at 6 A.M. is The height of the water at the dock at 9 A.M. is The height of the water at the dock at noon is ft. ft. ft. The height of the water at the dock at 6 P.M. is The height of the water at the dock at midnight is The height of the water at the dock at 3 A.M. is ft. (b) When is low tide and when is high tide? Choose the correct answer below. ft. ft. O A. Low tide is at noon. High tide is at midnight. O B. Low tide is 3 A.M. High tide is at 9 A.M. OC. Low tide is 3 A.M. and 3 P.M. High tide is at 9 A.M. and 9 P.M. D. Low tide is 9 A.M. and 9 P.M. High tide is at 3 A.M. and 3 P.M. O E. Low tide is 3 A.M. and 6 P.M. High tide is at 6 A.M. and 3 P.M. O F. Low tide is 6 A.M. and 3 P.M. High tide is at 3 A.M. and 6 P.M. (c) What is the period of this function and what does this mean about the tides? (c) What is the period of this function and what does this mean about the tides? The period of the function is hr. This means, that low tides occur every hours and high tides occur every hours.
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