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While following a treasure map, you start at an old oak
Chapter 1, Problem 81P(choose chapter or problem)
While following a treasure map, you start at an old oak 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 oak 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.
Questions & Answers
QUESTION:
While following a treasure map, you start at an old oak 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 oak 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.
ANSWER:Solution 81P Let A = 825 m,south B = 1.25 km,30 west of north = 1.25 × 10 m,30 west of north. 3 0 B = 1.0 km,34 north of east = 1.0 × 10 m,40 north of east. I will returning to started then my total displacement d = 0,let last displacement as D. Then d = 0 = A + B + C + D. D = A B C. Solve for