You ask Esteban to determine the distance the brake anchor has to be placed awa the base of the ending tree so the brake will just reach the tree. Remember, the cable is attached to the starting tree 18 feet above the ground. . Esteban measures 20 feet away from the base of the tree because the bung cord is 20 feet long. He adds 15 extra feet, to allow the bungee cord to stretch to capacity. Esteban places the brake anchor 35 feet from the base of the ending tree. Ending tree Stretched Brake anchor Bungee cord Height Distance Esteban's anchor is not the correct distance from the tree. What is the flaw in Esteban's process? Find the distance the brake anchor should be placed away from the base of the tree so the brake will just reach the tree. . Explain to Esteban how you found the distance. Justify your reasoning mathematically. Brake

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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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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• Brake Constraint: A brake must be placed on the cable
to ensure the rider does not hit the tree. A bungee cord
connects the brake to an anchor in the ground.
The length of the bungee cord is 20 feet.
The bungee cord stretches to a maximum of 175%
of its original length.
Transcribed Image Text:• Brake Constraint: A brake must be placed on the cable to ensure the rider does not hit the tree. A bungee cord connects the brake to an anchor in the ground. The length of the bungee cord is 20 feet. The bungee cord stretches to a maximum of 175% of its original length.
You ask Esteban to determine the distance the brake anchor has to be placed awa
the base of the ending tree so the brake will just reach the tree.
Remember, the cable is attached to the starting tree 18 feet above the ground.
. Esteban measures 20 feet away from the base of the tree because the bung
cord is 20 feet long.
He adds 15 extra feet, to allow the bungee cord to stretch to capacity.
Esteban places the brake anchor 35 feet from the base of the ending tree.
Ending tree
Stretched
Brake
anchor
Bungee cord
Height
Distance
Esteban's anchor is not the correct distance from the tree.
What is the flaw in Esteban's process?
Find the distance the brake anchor should be placed away from the base of the
tree so the brake will just reach the tree.
. Explain to Esteban how you found the distance. Justify your reasoning
mathematically.
Brake
Transcribed Image Text:You ask Esteban to determine the distance the brake anchor has to be placed awa the base of the ending tree so the brake will just reach the tree. Remember, the cable is attached to the starting tree 18 feet above the ground. . Esteban measures 20 feet away from the base of the tree because the bung cord is 20 feet long. He adds 15 extra feet, to allow the bungee cord to stretch to capacity. Esteban places the brake anchor 35 feet from the base of the ending tree. Ending tree Stretched Brake anchor Bungee cord Height Distance Esteban's anchor is not the correct distance from the tree. What is the flaw in Esteban's process? Find the distance the brake anchor should be placed away from the base of the tree so the brake will just reach the tree. . Explain to Esteban how you found the distance. Justify your reasoning mathematically. Brake
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