Answer for a and b please with steps

6. Each evening at sunset, the lights on the London Eye Ferris Wheel are turned on. The time of the sunset in London can be modelled by the equation S =2.891 sin (0.016d -1.183) +18.512 where s is the time of the sunset, and d is the day of the year. a. Use the equation to determine the time of day that the sun sets on July 19th, which is day 200. (2 marks) S= 2. 891 Sin (0. 016 ( 200) - 1. 183)+ 18:512 S= 2.891 sin ( 3. 2 - 1.183 )+ 18.512 2.891 Sim ( 2, 017 ) + 18. 512 2. 06 + 18. 512 = 21.1 - ( 0 . 12 ) ( 0.60 ) b. On how many days of the year, to the nearest whole number, will the lights be turned on at 7 PM (19:00) or later? (2 marks)