4. Wheel of Misfortune! You are riding your bike at a steady pace when a tack becomes stuck in the tire. Your tire has a radius of 26 cm and makes one complete rotation every 0.6 second. a) Sketch a graph of the function for one complete cycle, indicating at least 4 key characteristics. b) Find a sinusoidal function that models this situation using a transformed sine function. c) If the tack is located 39 cm above the ground, after becoming lodged in the tire, how many seconds would have initially elapsed?

4. Wheel of Misfortune! You are riding your bike at a steady pace when a tack becomes stuck in the tire. Your tire has a radius of 26 cm and makes one complete rotation every 0.6 second. a) Sketch a graph of the function for one complete cycle, indicating at least 4 key characteristics. b) Find a sinusoidal function that models this situation using a transformed sine function. c) If the tack is located 39 cm above the ground, after becoming lodged in the tire, how many seconds would have initially elapsed?

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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Question

4. Wheel of Misfortune!
You are riding your bike at a steady pace when a tack
becomes stuck in the tire. Your tire has a radius of
26 cm and makes one complete rotation every 0.6
second.
a) Sketch a graph of the function for one complete
cycle, indicating at least 4 key characteristics.
b) Find a sinusoidal function that models this
situation using a transformed sine function.
c) If the tack is located 39 cm above the ground, after becoming lodged in the tire, how
many seconds would have initially elapsed?

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