1. A postman start from post office and drives 22.0 km in a north direction. he then drives in a direction 60.0° east of south for 47.0 km . What is his displacement from the post office? ​

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see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west