The correct set of instructions to bring Cory's friends to the correct location is:
Walk 145 meters north, then go 126 meters west. B
How to determine the correct set of instructions
To determine the correct set of instructions that will bring Cory's friends to the correct location, analyze the given information about Cory's movements.
Cory initially walks 144 meters 29° south of west. This can be broken down into two components:
a southward component and a westward component.
To find these components, use trigonometry:
Southward component = 144 sin(29°) ≈ 69.2 meters (rounded to the nearest tenth)
Westward component = 144 cos(29°) ≈ 126.7 meters (rounded to the nearest tenth)
Afterward, Cory turns directly north and walks for 215 meters. This is a purely northward movement.
Now, analyze the given sets of instructions:
Walk 285 meters east, then go 125 meters north:
This set of instructions does not account for the initial southward and westward movements that Cory made. It would not lead Cory's friends to the correct location.
Walk 145 meters north, then go 126 meters west:
This set of instructions matches Cory's movements. He initially walked 69.2 meters south (which is equivalent to walking 69.2 meters north in the opposite direction), and then he walked 126.7 meters west. These instructions correctly lead to the campsite.
Walk 285 meters north, then go 125 meters east:
This set of instructions does not account for the initial southward and westward movements that Cory made. It would not lead Cory's friends to the correct location.
Walk 145 meters west, then go 126 meters north:
This set of instructions does not match Cory's movements. He initially walked 69.2 meters south (which is equivalent to walking 69.2 meters north in the opposite direction), not west. It would not lead Cory's friends to the correct location.
Therefore, the correct set of instructions to bring Cory's friends to the correct location is:
Walk 145 meters north, then go 126 meters west.
Cory is looking for a good campsite. From where he parked, he walks for 144 meters 29° south of west. He then turns directly north, and walks for another 215 meters, where he finds a campsite. When he is giving directions to his friends, which of the following sets of instructions will bring them to the correct location?
Walk 285 meters east, then go 125 meters north
Walk 145 meters north, then go 126 meters west
Walk 285 meters north, then go 125 meters east
Walk 145 meters west, then go 126 meters north