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Home » A is 40 m South of B. C is 30 m East of A. What is the distance and direction of C from B?

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A is 40 m South of B. C is 30 m East of A. What is the distance and direction of C from B?

A. 40 m, South
B. 30 m, East
C. 50 m, South-East ✅
D. 50 m, South-West

Explanation

  • B at origin (0,0)
  • A is 40m South of B: A=(0,-40)
  • C is 30m East of A: C=(30,-40)
  • Distance BC = sqrt(30^2+40^2) = 50 m
  • C lies to the South-East of B