SHOW STEP BY STEP WORKINGS FOR EACH QUESTIONS AND EXPLAIN IT PLS

4. The regular motion of the earth about the sun causes the daily change in Month .Celsius the high temperature at any location on Earth. The chart and graph show the average daily high temperature, in degrees Celsius, for each month in Yellowknife, NWT, compiled for several years. (4 marks) January -24 Determine the trigonometric equation that models this information, let February -21 y be the temperature in degrees celsius, and x be the numerical value of the month March -12 25 April -2 20 15 May 10 10 June 16 M A July 21 in -10 -15 August 18 -20 -25 September 11 .30 October 2 November 10 December -192. A ferris wheel has a diameter of 10 m and takes 24 sec to make one revolution. The lowest point on the wheel is 1 m above the ground. (4 marks) a. Sketch a graph to show how a rider's height above the ground varies with time as the ferris wheel makes a rotation. Assume the person starts the ride at the lowest point on the wheel. b. Write a trigonometric equation that describes the graph. c. Check the accuracy of your equation by using t = 12 sec. Explain why this provides a check of the accuracy ofthe equation. What are two more values that would provide a good check? 3. The height of the tide in the Bay of Fundy, relative to a pier, varies from a low of 4.5 m at 02:08 to a high of 17.3 m at 08:21 (measured with a 24 hour clock). (7 marks) a. Assume that the height (h) ofthe tide can be modeled as a cosine function of the time of day (t) and then determine the equation in the form: h(t)=acos(k(td))+c b. Where hit) is the height of the tide at the pier, in meters, and t is the time of day in hours. c. Determine the height of the tide relative to the pier at 11:30. Give your answer to the nearest 0.1 m. d. A boat needs a depth of at least 12 m to dock at the pier. Use a graphical approach to determine when the boat is able to dock and when it must leave