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 (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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Please recreate the steps and explain the concepts clearly so I can retrace the steps and get a better grasp on the subject.

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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