メ 3. A winch is a tool that rotates a cvlinder around which a cable is wound. When the winch rotates in one direction, it draws the cable in. Joey is using a winch and a pulley (as shown in the diagram) to raise a heavy box off the floor and onto a cart. The box is 2 ft. tall, and the winch is 14 ft. horizontally from where cable drops down vertically from the pulley. The angle of elevation to the pulley is 42°. What is the approximate length of cable, to the nearest foot, required to connect the winch and the box? COS U2こ14 62

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Please ignore all the drawings on the question.
三S
メ
3. A winch is a tool that rotates a cvlinder around which a cable is wound. When the
winch rotates in one direction, it draws the cable in. Joey is using a winch and a pulley
(as shown in the diagram) to raise a heavy box off the floor and onto a cart. The box is
2 ft. tall, and the winch is 14 ft. horizontally from where cable drops down vertically
Trom the pulley. The angle of elevation to the pulley is 42°. What is the approximate
Tength of cable, to the nearest foot, required to connect the winch and the box?
AR
COS U2こ14
マ
tan 42=2
2 ft.
42
14 ft.
y=2-2
52
Transcribed Image Text:三S メ 3. A winch is a tool that rotates a cvlinder around which a cable is wound. When the winch rotates in one direction, it draws the cable in. Joey is using a winch and a pulley (as shown in the diagram) to raise a heavy box off the floor and onto a cart. The box is 2 ft. tall, and the winch is 14 ft. horizontally from where cable drops down vertically Trom the pulley. The angle of elevation to the pulley is 42°. What is the approximate Tength of cable, to the nearest foot, required to connect the winch and the box? AR COS U2こ14 マ tan 42=2 2 ft. 42 14 ft. y=2-2 52
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