A light is placed on the tip of a windmill blade to protect planes from crashing into them. The windmill's center is 400 ft above the ground and the blades of the Windmill are 240 feet long. The windmill rotates in the counter-clockwise direction and completes one full revolution every 10 seconds starting from the 3 o'clcok position. :1. Draw a diagram of the situation and upload it as a PDF or JPG. Be sure to label everything clearly. Choose File No le chosen b. Dene the function f that represents the lights distance above the ground in terms of the amount of time in seconds, t, since the windmill started rotating. : Preview c. Determine the equation of the midline for the function f. Graph the function using Desmos E7 to check your answer. Assume y = f (t). E Preview d. Determine the amplitude of the function 3". Graph the function using Desmos E7 to check your answer. : Preview e. Determine the period of the function f. Graph the function using Desmos E7 to check your answer. : Preview Alicia boards a Ferris Wheel from the bottom, at the 6 o'clock position, and the Ferris Wheel rotates counter-clockwise. The center of the Ferris wheel is 32 feet above the ground and the radius of the Ferris wheel is 18 feet. a. Draw a picture of the situation described above. b. Your classmate says the expression 18 sin(rr) + 32 should calculate Alicia's height in feet above the ground after the Ferris wheel has rotated 7r radians counter-clockwise. Do you agree? 0 YeS, since the Ferris wheel rotated 7r radians in the clockwise direction, the argument should be 1r. The given expression would represent Alicia's height at the 12 o'clock position. 0 No, the argument of the sine function is an angle measured based on measuring in the clockwise direction from the 3 o'clock position. The given expression would represent Alicia's height at the 9 o'clock position. 0 No, the argument of the sine function is an angle measured based on measuring in the counter-clockwise direction from the 6 o'clock position. The given expression would represent Alicia's height at the 12 o'clock position. 0 Yes, since the Ferris wheel rotated 7r radians in the counter-clockwise direction, the argument should be r. The given expression would represent Alicia's height at the 12 o'clock position. No, the argument of the sine function is an angle measured based on measuring in the counter-clockwise direction from the 3 o'clock position. The given expression would represent Alicia's height at the 9 o'clock position. v c. Aer the Ferris Wheel has rotated 1r radians hour when Alicia boarded the wheel at the bottom, what is Alicia's height above the ground in feet? 50 v Preview 3 (1. After the Ferris Wheel has rotated g radians from when Alicia boarded the wheel at the bottom, what is Alicia's height above the ground in feet? 32 '7 Preview e. Dene a mction f that represents Alicia's height in feet above the ground in terms of the measure of the rotation angle in radians, 9, since she boarded. (In your formula, express her initial 6 o'clock position as a negative angle, rather than as a positive angle.) f(theta)=32+1aoos(pithe 8 Preview