SOLUTION: A person travels 2 km due North, then 15 km due East, after that 19 km due West and then 15 km due South. How far is he from the starting points? Options:a)5km b)9km c)37km d)61k

Algebra ->  Pythagorean-theorem -> SOLUTION: A person travels 2 km due North, then 15 km due East, after that 19 km due West and then 15 km due South. How far is he from the starting points? Options:a)5km b)9km c)37km d)61k      Log On


   

Question 1107718: A person travels 2 km due North, then 15 km due East, after that 19 km due West and then 15 km due South. How far is he from the starting points?
Options:a)5km b)9km c)37km d)61km
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
A person travels 2 km due North, then 15 km due East, after that 19 km due West and then 15 km due South. How far is he from the starting points?
Options:a)5km b)9km c)37km d)61km
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None of the above.
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Based on the description, the person ends up 4km West and 13km South of where they started. The shortest distance from their starting point (0,0) to (-4,-13) is sqrt%284%5E2%2B13%5E2%29+=+sqrt%2816%2B169%29+=+sqrt%28185%29+ which is approximately 13.6km from the starting point.
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