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2. Farmer John has land on both sides of a river as shown in the diagram below. He wants to build a zip Line that crosses the river. His only real options are to run from point A to point B or from point C to point B. Line AB will need a lot more cable than CB, but the construction of the landing platform at point C will cost more than a landing at point 33. Farmer John knows Distance 2 is 854 feet. Angle A is 33° and Angle Bis 72⁰. In order to complete the project, the only costs Farmer John doesn't know are the costs of the cables. He could use your help. a. Describe how you could help Farmer John measure Distance 1 and Distance 3. b. If the platform at point A costs $760, the platform at point C costs $1670, and cable is $9.79 per foot, which point makes the project less expensive? Explain your answer and show your work. c. In order to get his permit, the Sherrif's office requires payment for the entire area of the river affected. What is the area of triangle ABC? Distance 1 Farmer John's Land Distance 3 Distance 2 Farmer John's Land A River

2. Farmer John has land on both sides of a river as shown in the diagram below. He wants to build a zip Line that crosses the river. His only real options are to run from point A to point B or from point C to point B. Line AB will need a lot more cable than CB, but the construction of the landing platform at point C will cost more than a landing at point 33. Farmer John knows Distance 2 is 854 feet. Angle A is 33° and Angle Bis 72⁰. In order to complete the project, the only costs Farmer John doesn't know are the costs of the cables. He could use your help. a. Describe how you could help Farmer John measure Distance 1 and Distance 3. b. If the platform at point A costs $760, the platform at point C costs $1670, and cable is $9.79 per foot, which point makes the project less expensive? Explain your answer and show your work. c. In order to get his permit, the Sherrif's office requires payment for the entire area of the river affected. What is the area of triangle ABC? Distance 1 Farmer John's Land Distance 3 Distance 2 Farmer John's Land A River

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.2: Law Of Cosines
Problem 3ECP: In a softball game, a batter hits a ball to dead center field, a distance of 240 feet from home...
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2. Farmer John has land on both sides of a river as shown in the diagram below. He wants to build a zip Line that crosses the river. His only real options are to run from point A to point B or from point C to point B. Line AB will need a lot more cable than CB, but the construction of the landing platform at point C will cost more than a landing at point 33. Farmer John knows Distance 2 is 854 feet. Angle A is 33° and Angle B is 72°. In order to complete the project, the only costs Farmer John doesn't know are the costs of the cables. He could use your help. a. Describe how you could help Farmer John measure Distance 1 and Distance 3. b. If the platform at point A costs $760, the platform at point C costs $1670, and cable is $9.79 per foot, which point makes the project less expensive? Explain your answer and show c. In order to get his permit, the Sherrif's office requires payment for the entire area of the river affected. What is the area of triangle ABC? your work. B Distance 1 CA Farmer John's Land Distance 3 Distance 2 Farmer John's Land A River
Transcribed Image Text:2. Farmer John has land on both sides of a river as shown in the diagram below. He wants to build a zip Line that crosses the river. His only real options are to run from point A to point B or from point C to point B. Line AB will need a lot more cable than CB, but the construction of the landing platform at point C will cost more than a landing at point 33. Farmer John knows Distance 2 is 854 feet. Angle A is 33° and Angle B is 72°. In order to complete the project, the only costs Farmer John doesn't know are the costs of the cables. He could use your help. a. Describe how you could help Farmer John measure Distance 1 and Distance 3. b. If the platform at point A costs $760, the platform at point C costs $1670, and cable is $9.79 per foot, which point makes the project less expensive? Explain your answer and show c. In order to get his permit, the Sherrif's office requires payment for the entire area of the river affected. What is the area of triangle ABC? your work. B Distance 1 CA Farmer John's Land Distance 3 Distance 2 Farmer John's Land A River
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