Answer:
The resultant displacement, R = 83.19 m
Explanation:
Given,
The displacement towards the north, P = 51 m
The displacement towards the north-east 60°, Q = 45 m
The angle between two vectors, ∅ = 60°
The resultant displacement, 'R' is given by the formula of addition of vectors
R = √(P² + Q² + 2PQ cos∅)
Substituting the given values in the above equation
R = √(51² + 45² + 2x51x45 cos 60)
= √(6121)
= 83.19 m
Hence, the distance between the initial and final position is, R = 83.19 m
