1. You are standing at a base of a Ferris Wheel which is 4 m above ground while your friend is riding. The Ferris Wheel is 8m in diameter. Describe how the shape of the sine curve models the distance your friend is to the platform you are on. Identify the function that will model this situation as well as a function that will model the if we measure his distance to the ground. In your explanation use the following terms: Sine Function Radius Repeat Rotate Amplitude Period Intercept Maximum Minimum Axis of the curve 2. Create sketches by hand of the following sine functions and submit them to your teacher using the drop box above. It may be easiest for you to scan your hand sketches and submit the scan file. y = 3 sin (x) y = 2 sin (x - 60) y = - sin (x) + 2 y = -2 sin (x + 90) + 3 y = -3 sin (x - 20) - 2 3. Two hiking paths diverge at an angle of 75. If one person took a path and walked 5 km/h and another person took the other path and walked at 6 km/h, how far apart are they after 1 hours? 4. From a window 20m above the ground, a person could see the top of the house across the street at an angle of elevation of 5 degrees. The angle of depression to the base of the house was 15 degrees. What is the height of the house? 5. In which form should the equation of a quadratic function be written to most easily determine the maximum or minimum value? Explain. A. In which form should the equation of a quadratic function be written to most easily determine the x-intercepts? Explain. B. A quadratic function is expressed in standard form. C. Explain two different techniques for determining the maximum or minimum value of the function. D. Is it always possible to use both techniques? Explain. E. A boy stands on a bridge and throws a stone into the water below. The relationship between the height of the stone (h metres) and time (t seconds) is given by the functionh = -4.9t + 10t + 11. F. Determine the height of the bridge from which the stone was thrown. How long does it take for the stone to land in the water