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1. One of the wind turbines that Yoshio owns is shown in the figure below. He needs to know the height of the turbine. Yoshio is 5 feet 6 inches tall. If he stands 12 feet from the turbine, his line of sight forms a 90° angle with the top and bottom of the turbine. 12 ft W 5.5 ft a. What special segment is ZW? Explain. b. Write a similarity statement to show the relationship among triangle XYZ and the two triangles formed by drawing ZW. c. What is the height of the turbine?

1. One of the wind turbines that Yoshio owns is shown in the figure below. He needs to know the height of the turbine. Yoshio is 5 feet 6 inches tall. If he stands 12 feet from the turbine, his line of sight forms a 90° angle with the top and bottom of the turbine. 12 ft W 5.5 ft a. What special segment is ZW? Explain. b. Write a similarity statement to show the relationship among triangle XYZ and the two triangles formed by drawing ZW. c. What is the height of the turbine?

Elementary Geometry For College Students, 7e
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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Yoshio owns a farm that uses wind turbines to produce wind power. Wind power, also known as wind energy, uses the power of the wind to generate electrical or mechanical power. 1. One of the wind turbines that Yoshio owns is shown in the figure below. He needs to know the height of the turbine. Yoshio is 5 feet 6 inches tall. If he stands 12 feet from the turbine, his line of sight forms a 90° angle with the top and bottom of the turbine. 12 ft 5.5 ft a. What special segment is ZW? Explain. b. Write a similarity statement to show the relationship among triangle XYZ and the two triangles formed by drawing ZW. c. What is the height of the turbine?
Transcribed Image Text:Yoshio owns a farm that uses wind turbines to produce wind power. Wind power, also known as wind energy, uses the power of the wind to generate electrical or mechanical power. 1. One of the wind turbines that Yoshio owns is shown in the figure below. He needs to know the height of the turbine. Yoshio is 5 feet 6 inches tall. If he stands 12 feet from the turbine, his line of sight forms a 90° angle with the top and bottom of the turbine. 12 ft 5.5 ft a. What special segment is ZW? Explain. b. Write a similarity statement to show the relationship among triangle XYZ and the two triangles formed by drawing ZW. c. What is the height of the turbine?
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