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Two sharks are spotted by a boat. If there are divers in a shark cage located seven-eighths of the distance from Shark A to Shark B, find the position of the cage relative to the boat as an ordered pair.

User Stamis
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Final answer:

The student's question requires using vector addition and trigonometry to calculate the direction and distance a diver must swim to return to their starting point after several movements and being influenced by a current.

Step-by-step explanation:

The question primarily involves the use of vector addition and trigonometry to determine the position and navigation required for the diver to return to the start point. To solve this, one must calculate the resultant displacement from the diver's initial position after all movements, including the current's influence, to find her final position. Then, the reverse vector, which represents the path back to the origin, can be determined. To find the direction and distance back to the starting point, the components of the final displacement must be first identified and then negated, which effectively gives the required direction and distance to swim back.

User Chukwuma
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