wheel that opened in London in the year 2000. It has 32 capsules, each holding 25 passengers. It is suspended from two struts that are anchored to the ground at an angle of 65°. If the diameter of the wheel is 120 meters, and the bottom of the wheel is 15 feet above the ground, find the distance AB. Solution Figure 8 is a simplified model of the London Eye, labeled with the information in the problem. Ferris Wheel Diagram Simplified Mathematical Model D B FIGURE 8 The radius of the wheel, CD, is half the diameter, or 60 meters. The distance BC is the radius plus 15 meters, or 75 meters. Using our tangent function, we have 75 tan 65° = AB AB tan 65° = 75 75 AB = tan 65° - 35 feet To two significant digits Shckplisto.com 007
wheel that opened in London in the year 2000. It has 32 capsules, each holding 25 passengers. It is suspended from two struts that are anchored to the ground at an angle of 65°. If the diameter of the wheel is 120 meters, and the bottom of the wheel is 15 feet above the ground, find the distance AB. Solution Figure 8 is a simplified model of the London Eye, labeled with the information in the problem. Ferris Wheel Diagram Simplified Mathematical Model D B FIGURE 8 The radius of the wheel, CD, is half the diameter, or 60 meters. The distance BC is the radius plus 15 meters, or 75 meters. Using our tangent function, we have 75 tan 65° = AB AB tan 65° = 75 75 AB = tan 65° - 35 feet To two significant digits Shckplisto.com 007
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
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Ferris Wheel Referring to the model of the London Eye Ferris wheel in Figure 8, find the distance from A to C. Round to the nearest foot.
Transcribed Image Text:Example 6
in London in the year 2000. It has 32 capsules, each holding 25 passengers. It is
suspended from two struts that are anchored to the ground at an angle of 65°. If the
diameter of the wheel is 120 meters, and the bottom of the wheel is 15 feet above
the ground, find the distance AB.
The London Eye, pictured below, is a Ferris wheel that opened
Solution Figure 8 is a simplified model of the London Eye, labeled with the
information in the problem.
Ferris Wheel Diagram
Simplified Mathematical Model
C
D
B
FIGURE 8
The radius of the wheel, CD, is half the diameter, or 60 meters. The distance BC is
the radius plus 15 meters, or 75 meters. Using our tangent function, we have
75
tan 65° =
AB
AB tan 65° = 75
75
AB =
tan 65°
- 35 feet
To two significant digits
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