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. Example 6in London in the year 2000. It has 32 capsules, each holding 25 passengers. It issuspended from two struts that are anchored to the ground at an angle of 65°. If thediameter of the wheel is 120 meters, and the bottom of the wheel is 15 feet abovethe ground, find the distance AB.The London Eye, pictured below, is a Ferris wheel that openedSolution Figure 8 is a simplified model of the London Eye, labeled with theinformation in the problem.Ferris Wheel DiagramSimplified Mathematical ModelCDBFIGURE 8The radius of the wheel, CD, is half the diameter, or 60 meters. The distance BC isthe radius plus 15 meters, or 75 meters. Using our tangent function, we have75tan 65° =ABAB tan 65° = 7575AB =tan 65°- 35 feetTo two significant digits

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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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.

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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