SOLUTION: Pls help out :A man walks 8km north and then 5km in a direction east of north. Find the distance from the starting point

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Question 974514: Pls help out :A man walks 8km north and then 5km in a direction east of north. Find the distance from the starting point
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
:A man walks 8km north and then 5km in a direction east of north. Find the distance from the starting point
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"east of north" is not clearly defined.
If it's assumed to be 45 degs from north (heading of 045) then:
Use the Cosine Law.
Side a = 8
Side b = 5
The included angle is 135 degs
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c%5E2+=+a%5E2+%2B+b%5E2+-+2ab%2Acos%28135%29+=+64+%2B+25+%2B+80%2Asqrt%282%29%2F2
c =~ 12.065 km