On a safari, a team of naturalists sets out toward a research station located 2.4 mi away in a direction 42° south of east. After traveling in a straight line for 3.2 mi, they stop and discover that they have been traveling 68° east of south, because their guide (go figure!!) misread his compass. Someone in the team suggests that everything will be OK if they "just" walk 0.8 mi back in the 42° north of west direction. That advice appears.... well, as misguided as the guide before. Some people in the team have a mental breakdown and start crying. Others have visions of impending death. Someone even calls on Heimdall to open the Bifrost and get them home... Can you guys use your skills to end the chaos? Please help these poor folks out and show them how to calculate how far and in what direction they have to walk from where they are stranded in despair in order to reach the research station. Use a vector theoretical approach instead of pure trigonometry (= not triangles, adjacent, opposite, hypotenuse stuff but components)!
On a safari, a team of naturalists sets out toward a research station located 2.4 mi away in a direction 42° south of east. After traveling in a straight line for 3.2 mi, they stop and discover that they have been traveling 68° east of south, because their guide (go figure!!) misread his compass. Someone in the team suggests that everything will be OK if they "just" walk 0.8 mi back in the 42° north of west direction. That advice appears.... well, as misguided as the guide before. Some people in the team have a mental breakdown and start crying. Others have visions of impending death. Someone even calls on Heimdall to open the Bifrost and get them home... Can you guys use your skills to end the chaos? Please help these poor folks out and show them how to calculate how far and in what direction they have to walk from where they are stranded in despair in order to reach the research station. Use a vector theoretical approach instead of pure trigonometry (= not triangles, adjacent, opposite, hypotenuse stuff but components)!
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:On a safari, a team of naturalists sets out toward a research station located 2.4 mi away in a
direction 42° south of east. After traveling in a straight line for 3.2 mi, they stop and discover
that they have been traveling 68° east of south, because their guide (go figure!!) misread his
compass. Someone in the team suggests that everything will be OK if they "just" walk 0.8 mi
back in the 42° north of west direction. That advice appears.... well, as misguided as the guide
before. Some people in the team have a mental breakdown and start crying. Others have visions
of impending death. Someone even calls on Heimdall to open the Bifrost and get them home...
Can you guys use your skills to end the chaos? Please help these poor folks out and show them
how to calculate how far and in what direction they have to walk from where they are stranded
in despair in order to reach the research station. Use a vector theoretical approach instead of
pure trigonometry (= not triangles, adjacent, opposite, hypotenuse stuff but components)!
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Step 1: Determine the given variables.
VIEWStep 2: Determine the vector diagram to find the displacement to reach correct location.
VIEWStep 3: Determine the expression of displacement to reach correct location from stranded location
VIEWStep 4: Determine the displacement to reach correct location
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