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A city wants to build a grass-covered playground on a small triangle-shaped lot with boundaries of length 12 m, 14 m, and 20 m. Through what angle measure should an automatic sprinkler be set to water the grass if it is placed at the corner C? 12 14 A 20 B Solution In this SsS situation, you want to find m/C. Use the Law of Cosines. Let a = ?, b = ? , and c = ?. c2 = a? + b2 – 2ab cos C ? 2 = ? 2+ _ ? 2 – 2• ? . ? cos C Substitute. ? = ? - ? cos C Solve for cos C. ? = ?_ cos C QY cos Cz_? Check your solution to

A city wants to build a grass-covered playground on a small triangle-shaped lot with boundaries of length 12 m, 14 m, and 20 m. Through what angle measure should an automatic sprinkler be set to water the grass if it is placed at the corner C? 12 14 A 20 B Solution In this SsS situation, you want to find m/C. Use the Law of Cosines. Let a = ?, b = ? , and c = ?. c2 = a? + b2 – 2ab cos C ? 2 = ? 2+ _ ? 2 – 2• ? . ? cos C Substitute. ? = ? - ? cos C Solve for cos C. ? = ?_ cos C QY cos Cz_? Check your solution to

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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GUIDED Example 3 A city wants to build a grass-covered playground on a small triangle-shaped lot with boundaries of length 12 m, 14 m, and 20 m. Through what angle measure should an automatic sprinkler be set to water the grass if it is placed at the corner C? 12 14 A 20 Solution In this SSS situation, you want to find m2C. Use the Law of Cosines. Let a = ?, b = ? , and c = ?. c2 = a? + b² – 2ab cos C ? 2 = ? 2 + ? 2 – 2• _ ? . ? cos C Substitute. %3D ? ? ? _cos C Solve for cos C. = ? cos C QY cos Cz_? Check your solution to
Transcribed Image Text:GUIDED Example 3 A city wants to build a grass-covered playground on a small triangle-shaped lot with boundaries of length 12 m, 14 m, and 20 m. Through what angle measure should an automatic sprinkler be set to water the grass if it is placed at the corner C? 12 14 A 20 Solution In this SSS situation, you want to find m2C. Use the Law of Cosines. Let a = ?, b = ? , and c = ?. c2 = a? + b² – 2ab cos C ? 2 = ? 2 + ? 2 – 2• _ ? . ? cos C Substitute. %3D ? ? ? _cos C Solve for cos C. = ? cos C QY cos Cz_? Check your solution to
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