A ferris wheel of radius 12 m rotates at a constant angular speed and requires 30 seconds to do a complete revolution. The axle of the wheel is 14 m above the ground and so the lowest point of the wheel is 2 meters off the ground. Find the equation of the height y of a rider who sits at the outside edge of the wheel, assuming (a) at t= 0 he is 14 m off the ground (level with the axle) and moving up. Use a sine function. (b) at t = 0 he is 26 m off the ground (at the top). Use a cosine function. alon (c) Write the answer to (b) using a sine function. (d) Write the answer to (a) using a cosine function. (o) Wi+1hi
A ferris wheel of radius 12 m rotates at a constant angular speed and requires 30 seconds to do a complete revolution. The axle of the wheel is 14 m above the ground and so the lowest point of the wheel is 2 meters off the ground. Find the equation of the height y of a rider who sits at the outside edge of the wheel, assuming (a) at t= 0 he is 14 m off the ground (level with the axle) and moving up. Use a sine function. (b) at t = 0 he is 26 m off the ground (at the top). Use a cosine function. alon (c) Write the answer to (b) using a sine function. (d) Write the answer to (a) using a cosine function. (o) Wi+1hi
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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Transcribed Image Text:A ferris wheel of radius 12 m rotates at a constant angular speed and requires 30 seconds
to do a complete revolution. The axle of the wheel is 14 m above the ground and so the
lowest point of the wheel is 2 meters off the ground. Find the equation of the height y of a
rider who sits at the outside edge of the wheel, assuming
(a) at t = 0 he is 14 m off the ground (level with the axle) and moving up. Use a sine
function.
(b) at t = 0 he is 26 m off the ground (at the top). Use a cosine function.
01on (c) Write the answer to (b) using a sine function.
(d) Write the answer to (a) using a cosine function.
(e) Within one revolution, when is a rider 15 m above the ground? Round your
answers to two decimal places.
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