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Mathematics, 25.04.2020 16:11 am561740

A small boat leaves the dock at Camp DuNuthin and heads across the Nessie River at 15 miles per hour (this speed is with respect to the water) while maintaining a bearing of S67°W. (Thus we can think of the front of the boat as always pointing toward that heading.) The river is flowing due east at 8 miles per hour. What is the boat's true speed and heading? Express the heading as a bearing. (Hint: Model the boat's speed and course across smooth water by the vector b which has magnitude b = 15 and makes a 67° with the negative y-axis in Quadrant III. The river current is given by r = 8, 0 because we need r = 8 with its direction along the positive x-axis. The true course of the boat is given by b + r. Round your answers to two decimal places.)

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A small boat leaves the dock at Camp DuNuthin and heads across the Nessie River at 15 miles per hour...
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