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A hiker travels 12 km in a direction of 50 degrees west of north. What are the north and west components of this displacement?

Respuesta :

The north and west components of this displacement are 9.19 km and -7.71 km respectively.

North component of the displacement

The north component of the displacement is calculated as follows;

Dy = D sinθ

Dy = 12 km x sin50

Dy = 9.19 km

West component of the displacement

Dx = D x cosθ

Dx = - 12 km x cos(50)

Dx = -7.71 km

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