SOLUTION: A car travels North for 4 miles, then West for 6 miles, and then South West for 2 miles. How many miles is the car from its starting point?

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Question 1061890: A car travels North for 4 miles, then West for 6 miles, and then South West for 2 miles. How many miles is the car from its starting point?
Found 2 solutions by math_helper, MathTherapy:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the car starts at the origin (0,0).
North for 4 miles —> new position is (0,4)
West for 6 miles —> new position is (-6, 4)
South West for 2 miles —> new position is (-6-sqrt(2), 4-sqrt(2))
Distance from origin is +sqrt+%28%28-6-sqrt%282%29%29%5E2+%2B+%284-sqrt%282%29%29%5E2%29%29+
I'll leave it to you to simplify...

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
A car travels North for 4 miles, then West for 6 miles, and then South West for 2 miles. How many miles is the car from its starting point?