A ferris wheel has a radius of 75 feet and its center is 80 feet above the ground. You ride the wheel once around and get off. (a) Find a function that expresses your height in terms of the angle of rotation of the wheel since you boarded. Be sure to give the function a name and define its input and output (with units) in complete sentences. Include the function's domain. Explain your reasoning clearly. (b) When you are 108 feet above the ground for the second time, the wheel comes to a stop. It then turns through a small angle and stops again. Ap- proximate the change in your height in terms of this small angle of rotation. Be sure to define these changes precisely and to explain your logic. (c) Suppose the wheel turned through an angle of 2° as described in part (b). Use your result of part (b) to approximate the change in your height. Include units at each step and for each number in the computation. Craft your response to this question in the form of a letter to a friend.
A ferris wheel has a radius of 75 feet and its center is 80 feet above the ground. You ride the wheel once around and get off. (a) Find a function that expresses your height in terms of the angle of rotation of the wheel since you boarded. Be sure to give the function a name and define its input and output (with units) in complete sentences. Include the function's domain. Explain your reasoning clearly. (b) When you are 108 feet above the ground for the second time, the wheel comes to a stop. It then turns through a small angle and stops again. Ap- proximate the change in your height in terms of this small angle of rotation. Be sure to define these changes precisely and to explain your logic. (c) Suppose the wheel turned through an angle of 2° as described in part (b). Use your result of part (b) to approximate the change in your height. Include units at each step and for each number in the computation. Craft your response to this question in the form of a letter to a friend.
Related questions
Question
Transcribed Image Text:A ferris wheel has a radius
of 75 feet and its center is 80 feet above the ground. You ride the wheel once
around and get off.
(a) Find a function that expresses your height in terms of the angle of
rotation of the wheel since you boarded. Be sure to give the function a name
and define its input and output (with units) in complete sentences. Include
the function's domain. Explain your reasoning clearly.
(b) When you are 108 feet above the ground for the second time, the wheel
comes to a stop. It then turns through a small angle and stops again. Ap-
prorimate the change in your height in terms of this small angle of rotation.
Be sure to define these changes precisely and to erplain your logic.
(c) Suppose the wheel turned through an angle of 2° as described in part
(b). Use your result of part (b) to approximate the change in your height.
Include units at each step and for each number in the computation.
Craft your response to this question in the form of a letter to a friend.
Incoporate the statement of the problem in the flow of your letter (ie. do
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
