Question

JOURNEY CONSISTS OF TWO DISPLACEMENTSTHE FIRST IS 500m IN A NORTHERNLY DIRECTION AND THE SECOND IS 200m IN AN EASTRENLY DIRECTION.DRAW TO SCALE A VECTOR DIAGRAM OF THESE DISPLACEMENTS

Answer 1

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Answer:

  see attached

Step-by-step explanation:

The scale of the drawing is 50 m per grid square.

The magnitude of the resultant can be found using the Pythagorean theorem:

  r = √(n² +e²)

  r = √(500² +200²) = 100√29 ≈ 538.52 . . . meters

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The direction angle can be found using the arctangent function.

The angle east of north is ...

  arctan(200/500) ≈ 21.8014°

The resultant is 538.52 meters in the direction 21.8° east of north.