Also rotating and vibrating phenomena can be modeled with a general sine function. The radius of a Ferris wheel is 16 m and its lowest point is 1 m above the earth’s surface. The Ferris wheel makes one complete round in 43 s. Find the function that models the height of the person enjoying the Ferris wheel ride in meters as a function of time. Time is measured in seconds from the lowest point. The starting point for the sine model is the first possible point on the positive t-axis. a) Draw the graph of the height as a function of time. b) Write the height function in its exact form (no decimals allowed use fractions) without units. h(t)= c) What is the height of the person when t=12 s? Give the answer in one decimal place.  (m)

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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Also rotating and vibrating phenomena can be modeled with a general sine function.

The radius of a Ferris wheel is 16 m and its lowest point is 1 m above the earth’s surface. The Ferris wheel makes one complete round in 43 s. Find the function that models the height of the person enjoying the Ferris wheel ride in meters as a function of time. Time is measured in seconds from the lowest point. The starting point for the sine model is the first possible point on the positive t-axis.

a) Draw the graph of the height as a function of time.

b) Write the height function in its exact form (no decimals allowed use fractions) without units.

h(t)=

c) What is the height of the person when t=12 s? Give the answer in one decimal place.

 (m)

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