You are going to write your own trigonometric word problem, but we will step you through it. You just need to fill in the blanks with your own numbers (you can pick what you want the numbers to be, as long as they are positive (not zero or negative). You will then solve using your numbers. Remember that we did one like this for Thursday's discussion, as well as the review sheet for module 3 quiz. (12 points) a. When the minute hand of a clock is pointed at 12, it is. inches from the ceiling. The length of the minute hand is. inches long. b. Use the numbers you chose in part a to fill in the blanks on the clock, asking for the length of the minute hand, the distance the tip of the hand is from the ceiling when it is pointing at 12, 6, and 9 (notice 9 and 3 have the same distance, so you don't have to label 3). Ceiling inches from the ceiling: Inches from the ceiling: 1 2 length of minute hand: 3 Inches from the ceiling: c. Sketch a graph showing the distance the tip of the minute hand is from the ceiling for 2 full rotations. A few hints: One rotation is 60 minutes. the starting point t = 0 is when it is pointing at 12. Remember when it points at 3, it has been 15 minutes, at 6 it is 30 minutes, and at 9 it is 45 minutes. Be sure to label your y-axis with the midline, max, and min. inches from ceiling 0 5 15 20 40 45 50 56 time 75 BO BO 95 100 105 110 115 120 d. Please write a formula for your graph that matches the numbers you have chosen. To do this, you need to think about what the midline, amplitude, and period (so you can find k) are, and use these to write your formula.