If you walk 1.2 km north and then 1.6 km east, what are the magnitude and direction of your resultant displacement? a. magnitude: 2.00 km; direction: 36.9° east of north b. magnitude: 2.00 km; direction: 53.1° east of north c. magnitude: 1.1 km; direction: 36.9° east of north d. magnitude: 1.1 km; direction: 53.1° east of north

 Option A is the correct answer.

Explanation:

  Let the east point towards positive X-axis and north point towards positive Y-axis.

 First walking 1.2 km north,  displacement = 1.2 j km

 Secondly 1.6 km east, displacement = 1.6 i km

 Total displacement = (1.6 i + 1.2 j) km

 Magnitude =

 Angle of resultant with positive X - axis = = 36.87⁰ east of north.