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
![JOURNEY CONSISTS OF TWO DISPLACEMENTSTHE FIRST IS 500m IN A NORTHERNLY DIRECTION AND THE SECOND IS 200m IN AN EASTRENLY DIRECTIONDRAW TO SCALE A VECTOR DIAGRAM class=](https://us-static.z-dn.net/files/ded/20bee83a48185dae931ec0f42f96937e.png)
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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.