Determine the resultant displacement when a smelly dog chases a bunny rabbit 28 m East, 35 m at 69 degrees east of north, and 31 m at 41 degrees west

Explanation: Let us represent displacement of dog in vector form

Let us consider east as + x axis and north as + y - axis

28 m east = 28 i

35 m at 69 degrees east of north

35 sin69 i + 35 cos69 j

= 32.67 i + 12.54 j

31 m at 41 degrees west

31m (90-69) + 41 = 62 degree north of east

= 31 cos62 i + 31sin62 j

= 14.55 i + 27.37 j

Total displacement

= 28 i + 32.67 i + 12.54 j + 14.55 i + 27.37 j

= 75.22 i + 39.91 j

Amplitude

= √ 75.22² + 39.91²

= 85 m