SOLUTION: A man drives 12 km to the north and then 15 km to the east. What are the magnitude and direction of his displacement from the starting point?

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Question 1118691: A man drives 12 km to the north and then 15 km to the east. What are the magnitude and direction of his displacement from the starting point?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If tan%28alpha%29 is 15%2F12=5%2F4, and this direction is to the east rotated from pointing north, then this angle is 51 degrees to the east, starting from north as reference.

Magnitutde, sqrt%2812%5E2%2B15%5E2%29=3%2Asqrt%2841%29