The Ferris Wheel In 1893, George Ferris engineered the Ferris wheel. It was 250 feet in diameter. If a Ferris wheel makes 1 revolution every 40 seconds, then the function TT h(t) = 125 sin 0.157t + 125 - - represents the height h, in feet, of a seat on the wheel as a function of time t, where t is measured in seconds. The ride begins when t= 0.

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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#104 A,B,C
(b) Solve f(x) =g(x) on the interval [0, 21], and label
the points of intersection on the graph drawn in part (a).
(c) Solve f(x) > g(x) on the interval [0, 27].
(d) Shade the region bounded by f(x) = 2 sin x and
g(x) = -2 sin x + 2 between the two points found in
part (b) on the graph drawn in part (a).
%3D
(a) During the first 40 seconds of the ride, at what time t is
an individual on the Ferris wheel exactly 125 feet above
the ground?
(b) During the first 80 seconds of the ride, at what time t is
an individual on the Ferris wheel exactly 250 feet above
the ground?
(c) During the first 40 seconds of the ride, over what interval
of time t is an individual on the Ferris wheel more than
125 feet above the ground?
05. Holding Pattern An airplane is asked to stay within a holding
pattern near Chicago's O'Hare International Airport.
The function d(x)
distance d, in miles, of the airplane from the airport at time
x, in minutes.
70 sin (0.65x) + 150 represents the
(a) When the plane enters the holding pattern, x
far is it from O'Hare?
0, how
(b) During the first 20 minutes after the plane enters the
holding pattern, at what time x is the plane exactly 100
miles from the airport?
Transcribed Image Text:(b) Solve f(x) =g(x) on the interval [0, 21], and label the points of intersection on the graph drawn in part (a). (c) Solve f(x) > g(x) on the interval [0, 27]. (d) Shade the region bounded by f(x) = 2 sin x and g(x) = -2 sin x + 2 between the two points found in part (b) on the graph drawn in part (a). %3D (a) During the first 40 seconds of the ride, at what time t is an individual on the Ferris wheel exactly 125 feet above the ground? (b) During the first 80 seconds of the ride, at what time t is an individual on the Ferris wheel exactly 250 feet above the ground? (c) During the first 40 seconds of the ride, over what interval of time t is an individual on the Ferris wheel more than 125 feet above the ground? 05. Holding Pattern An airplane is asked to stay within a holding pattern near Chicago's O'Hare International Airport. The function d(x) distance d, in miles, of the airplane from the airport at time x, in minutes. 70 sin (0.65x) + 150 represents the (a) When the plane enters the holding pattern, x far is it from O'Hare? 0, how (b) During the first 20 minutes after the plane enters the holding pattern, at what time x is the plane exactly 100 miles from the airport?
blood pressure is 120
(c) In the interval [0, 1], determine the times at which the
blood pressure is between 100 and 105 mmHg.
104. The Ferris Wheel In 1893, George Ferris engineered the
Ferris wheel. It was 250 feet in diameter. If a Ferris wheel
makes 1 revolution every 40 seconds, then the function
TT
h(t)
= 125 sin 0.157t
+ 125
represents the height h, in feet, of a seat on the wheel as a
function of time t, where t is measured in seconds. The ride
begins when t = 0.
Transcribed Image Text:blood pressure is 120 (c) In the interval [0, 1], determine the times at which the blood pressure is between 100 and 105 mmHg. 104. The Ferris Wheel In 1893, George Ferris engineered the Ferris wheel. It was 250 feet in diameter. If a Ferris wheel makes 1 revolution every 40 seconds, then the function TT h(t) = 125 sin 0.157t + 125 represents the height h, in feet, of a seat on the wheel as a function of time t, where t is measured in seconds. The ride begins when t = 0.
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