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6.3 Ready, Set, Go ASSISTments Workbench 75+60 sin(1)- Google Searc x+2) ents/5ece7a6c-d183-4872-93d7-7dada0ca9e6c/workbench New Chrome Brennan Toth roblem 10 Perhaps you have seen The London Eye in the background of a James Bond movie or on a television show. When it opened in March of 2000 , it was the tallest Ferris wheel in the world. The passenger capsule at the very top is 135 meters above the ground. The diameter is 120 meters. Assume there are 36 passenger capsules, evenly spaced around the circumference. Find the height from the ground of each of the numbered passenger capsules shown in the figure. (Use the figure to help you think about the problem.) What is the height of passenger 2 ? Do not inctude units (m) In your answer.

66.33 Ready, Set, Go\newlineASSISTments Workbench\newline75+60sin⁡(1)− 75+60 \sin (1)- Google Searc x+2) x+2) \newlineents/55ece77a66c-d183183−4872-4872−93-93d77−7-7dada00ca99e66c/workbench\newlineNew Chrome\newlineBrennan Toth\newlineroblem 1010\newlinePerhaps you have seen The London Eye in the background of a James Bond movie or on a television show. When it opened in March of 20002000 , it was the tallest Ferris wheel in the world. The passenger capsule at the very top is 135135 meters above the ground. The diameter is 120120 meters.\newlineAssume there are 3636 passenger capsules, evenly spaced around the circumference. Find the height from the ground of each of the numbered passenger capsules shown in the figure. (Use the figure to help you think about the problem.)\newlineWhat is the height of passenger 22 ?\newlineDo not inctude units (m) In your answer.

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Q. 66.33 Ready, Set, Go\newlineASSISTments Workbench\newline75+60sin⁡(1)− 75+60 \sin (1)- Google Searc x+2) x+2) \newlineents/55ece77a66c-d183183−4872-4872−93-93d77−7-7dada00ca99e66c/workbench\newlineNew Chrome\newlineBrennan Toth\newlineroblem 1010\newlinePerhaps you have seen The London Eye in the background of a James Bond movie or on a television show. When it opened in March of 20002000 , it was the tallest Ferris wheel in the world. The passenger capsule at the very top is 135135 meters above the ground. The diameter is 120120 meters.\newlineAssume there are 3636 passenger capsules, evenly spaced around the circumference. Find the height from the ground of each of the numbered passenger capsules shown in the figure. (Use the figure to help you think about the problem.)\newlineWhat is the height of passenger 22 ?\newlineDo not inctude units (m) In your answer.
  1. Calculate Radius: Calculate the radius of the Ferris wheel.\newlineRadius = Diameter / 22\newlineRadius = 120120 meters / 22\newlineRadius = 6060 meters
  2. Determine Center Height: Determine the height of the center of the Ferris wheel from the ground.\newlineHeight of the center = Total height - Radius\newlineHeight of the center = 135135 meters - 6060 meters\newlineHeight of the center = 7575 meters
  3. Calculate Angle per Capsule: Calculate the angle between each passenger capsule since they are evenly spaced.\newlineAngle per capsule = 360 degrees/Number of capsules360 \text{ degrees} / \text{Number of capsules}\newlineAngle per capsule = 360 degrees/36360 \text{ degrees} / 36\newlineAngle per capsule = 10 degrees10 \text{ degrees}
  4. Calculate Passenger 22 Height: Calculate the vertical position of passenger 22 using the sine function.\newlineHeight of passenger 22 = Height of the center + Radius ×\times sin(Angle of passenger 22)\newlineAngle of passenger 22 = 1010 degrees ×\times (22 - 11) // Passenger 22 is one capsule from the starting point at the bottom.\newlineHeight of passenger 22 = 7575 meters + 6060 meters ×\times sin(1010 degrees)\newlineHeight of passenger 22 = 7575 meters + 6060 meters ×\times 101022 // Using sin(1010 degrees) 101044 101022\newlineHeight of passenger 22 = 7575 meters + 101077 meters\newlineHeight of passenger 22 = 101088 meters

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