6. While following a treasure map, you start at an old pine tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 40.0° north of east, where you find the treasure: a biography of Isaac Newton! (a) To return to the old pine tree, in what direction should you head and how far will you walk? Use components to solve this problem. (b) To see whether your calculation in part (a) is reasonable, check it with a graphical solution drawn roughly to scale.

Physics for Scientists and Engineers
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Author:Raymond A. Serway, John W. Jewett
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Chapter3: Vectors
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Problem 40AP: Ecotourists use their global positioning system indicator to determine their location inside a...
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6. While following a treasure map, you start at an old pine tree. You first walk
825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and
finally walk 1.00 km at 40.0° north of east, where you find the treasure: a
biography of Isaac Newton!
(a) To return to the old pine tree, in what direction should you head and how
far will you walk? Use components to solve this problem.
(b) To see whether your calculation in part (a) is reasonable, check it with a
graphical solution drawn roughly to scale.
Transcribed Image Text:6. While following a treasure map, you start at an old pine tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 40.0° north of east, where you find the treasure: a biography of Isaac Newton! (a) To return to the old pine tree, in what direction should you head and how far will you walk? Use components to solve this problem. (b) To see whether your calculation in part (a) is reasonable, check it with a graphical solution drawn roughly to scale.
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