(Solved): REALLY NEED HELP ON THIS PRACTICEASSIGNMENT, to answer all this 5 questions belowcorrectly, would be ...

The graph shdws one period of the sine function with horizontal lines corresponding to output values of \( y=0.5 \) and \( y=-0.5 \). Match the points A,B,C and D with their coordinates in the table below. Question Help: MMessage instructor Recall the tide level on February 4, 2021 in Boston, Massachusetts, was modeled by the function \( S(t)=5+5 \sin \left(\frac{\pi}{6} t\right) \) Part A: Using the table of values from Question 1, find two values of \( t \) such that \( \sin \left(\frac{\pi}{6} t\right)=-\frac{1}{2} \). Answers] Part B: Using your answer from above, find what time(s) the tide level is exactly \( 2.5 \) feet. Use the graph to verify your answer. \begin{tabular}{|l|l} \hline \( 12: 00 \mathrm{am} \) & Noon \\ \hline \( 1: 00 \mathrm{am} \) & \( 1: 00 \mathrm{pm} \) \\ \hline \( 2: 00 \mathrm{am} \) & \( 2: 00 \mathrm{pm} \) \\ \hline \( 3: 00 \mathrm{am} \) & \( 3: 00 \mathrm{pm} \) \\ \hline \( 4: 00 \mathrm{am} \) & \( 4: 00 \mathrm{pm} \) \\ \hline \( 5: 00 \mathrm{am} \) & \( 5: 00 \mathrm{pm} \) \\ \hline \( 6: 00 \mathrm{am} \) & \( 6: 00 \mathrm{pm} \) \\ \hline \( 7: 00 \mathrm{am} \) & \( 7: 00 \mathrm{pm} \) \\ \hline \( 8: 00 \mathrm{am} \) & \( 8: 00 \mathrm{pm} \) \\ \hline \( 9: 00 \mathrm{am} \) & \( 9: 00 \mathrm{pm} \) \\ \hline \( 10: 00 \mathrm{am} \) & \( 10: 00 \mathrm{pm} \) \\ \hline \( 11: 00 \mathrm{am} \) & \( 11: 00 \mathrm{pm} \) \\ \hline \end{tabular} Part C: What time interval is the tide level \( 2.5 \) feet or lower? Answer: Data collected from the NOAA observation point in Hanauma Bay, Hawaii, shows that tide levels there can be modeled by the function \( H(t)=\frac{1}{2}+\frac{1}{2} \cos \left(\frac{\pi}{6} t\right) \), where \( t \) is measured in hours after \( 6: 00 \) am. \( { }^{1} \) National Oceanic and Atmospheric Administration. (n.d.). Tide predictions ot 1612301 Hanouma Bay, HI. Retrieved from https://tidesandcurrents.noaa.gov/noaatidepredictions.htmllid \( =1612301 \) Find the period of \( H(t) \). Answer: Lie specis angles and the unit tircle to aromer the folioning questions. Part Ac At what timetia is the tide level the highest? What is the heigic at this timeis)? Part B: At what timeis) is the tide level the lowest? What is the fueght at this time(s)? \begin{tabular}{|l|l} \( 1200 \mathrm{am} \) & koon \\ \hline \( 100 \mathrm{am} \) & \( 1.00 \mathrm{pm} \) \\ \hline \( 200 \mathrm{am} \) & \( 2000 \mathrm{pm} \) \\ \( 3.00 \mathrm{am} \) & \( 3000 \mathrm{pm} \) \\ \hline \( 4.00 \mathrm{am} \) & \( 4.00 \mathrm{pm} \) \\ \hline \( 500 \mathrm{am} \) & \( 5.00 \mathrm{pm} \) \\ \hline \( 6.00 \mathrm{am} \) & \( 6.00 \mathrm{pm} \) \\ \hline \end{tabular} Data collected from the NOAA observation point in Hanauma Bay, Hawaii, shows that tide levels there can be modeled by the function \( H(t)=\frac{1}{2}+\frac{1}{2} \cos \left(\frac{\pi}{6} t\right) \), where \( t \) is measured in hours after \( 6: 00 \) am. \( { }^{1} \) \( { }^{1} \) National Oceanic and Atmospheric Administration. (n.d.). Tide predictions at 1612301 Hanauma Bay, HI. Retrieved from https://tidesandcurrents.noaa.gov/noaatidepredictions.htm|?id=1612301 Over what time interval is the tide level lower than 6 inches \( (1 / 2 \) foot)? Make sure you can justify your answer. Answer: