Problem 2: Matthew determined that it takes 75 seconds for him to complete one revolution on a Ferris wheel that has a radius ofr feet. a) Determine the speed that Matthew travels (in radius lengths per second). b) Determine a function m that represents Matthew's directed horizontal distance from the vertical diameter (measured in feet), in terms of the time elapsed (measured in seconds) since he started travelling from the o'clock position going counterclockwise. We suggest first drawing a diagram of the situation. c) Sketch a graph of the function m and mark the interval of input values on which the function values complete one full cycle.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Problem 2: Matthew determined that it takes 75 seconds for him to complete one revolution on a Ferris
wheel that has a radius ofr feet.
a) Determine the speed that Matthew travels (in radius lengths per second).
b) Determine a function m that represents Matthew's directed horizontal distance from the vertical
diameter (measured in feet), in terms of the time elapsed (measured in seconds) since he started
travelling from the
o'clock position going counterclockwise. We suggest first drawing a diagram of
the situation.
c) Sketch a graph of the function m and mark the interval of input values on which the function values
complete one full cycle.
Transcribed Image Text:Problem 2: Matthew determined that it takes 75 seconds for him to complete one revolution on a Ferris wheel that has a radius ofr feet. a) Determine the speed that Matthew travels (in radius lengths per second). b) Determine a function m that represents Matthew's directed horizontal distance from the vertical diameter (measured in feet), in terms of the time elapsed (measured in seconds) since he started travelling from the o'clock position going counterclockwise. We suggest first drawing a diagram of the situation. c) Sketch a graph of the function m and mark the interval of input values on which the function values complete one full cycle.
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